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5343101435152 = 24131937179204137
BaseRepresentation
bin100110111000000100110…
…1010011011110100010000
3200220210110220222220212101
41031300021222123310100
51200020132431411102
615210330435010144
71061012014561345
oct115601152336420
920823426886771
105343101435152
11177aaa6513a48
12723641a39954
132c9b10683750
14146870d447cc
1593ebdce5e87
hex4dc09a9bd10

5343101435152 has 160 divisors (see below), whose sum is σ = 12119918025600. Its totient is φ = 2260402827264.

The previous prime is 5343101435129. The next prime is 5343101435153. The reversal of 5343101435152 is 2515341013435.

It is a super-2 number, since 2×53431014351522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (5343101435153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26072028 + ... + 26276164.

It is an arithmetic number, because the mean of its divisors is an integer number (75749487660).

Almost surely, 25343101435152 is an apocalyptic number.

5343101435152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5343101435152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059959012800).

5343101435152 is an abundant number, since it is smaller than the sum of its proper divisors (6776816590448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5343101435152 is a wasteful number, since it uses less digits than its factorization.

5343101435152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204393 (or 204387 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 5343101435152 its reverse (2515341013435), we get a palindrome (7858442448587).

The spelling of 5343101435152 in words is "five trillion, three hundred forty-three billion, one hundred one million, four hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 37 38 52 74 76 104 148 152 179 208 247 296 304 358 481 494 592 703 716 962 988 1406 1432 1924 1976 2327 2812 2864 3401 3848 3952 4654 5624 6623 6802 7696 9139 9308 11248 13246 13604 18278 18616 26492 27208 36556 37232 44213 52984 54416 73112 86099 88426 105968 125837 146224 172198 176852 204137 251674 344396 353704 408274 503348 688792 707408 816548 1006696 1377584 1633096 1635881 2013392 2653781 3266192 3271762 3878603 5307562 6543524 7553069 7757206 10615124 13087048 15106138 15514412 21230248 26174096 30212276 31028824 36540523 42460496 50421839 60424552 62057648 73081046 98189897 100843678 120849104 143508311 146162092 196379794 201687356 287016622 292324184 392759588 403374712 475026799 574033244 584648368 694269937 785519176 806749424 950053598 1148066488 1351999351 1388539874 1571038352 1865608043 1900107196 2296132976 2703998702 2777079748 3731216086 3800214392 5407997404 5554159496 7462432172 7600428784 9025509181 10815994808 11108318992 14924864344 17575991563 18051018362 21631989616 25687987669 29849728688 35151983126 36102036724 51375975338 70303966252 72204073448 102751950676 140607932504 144408146896 205503901352 281215865008 333943839697 411007802704 667887679394 1335775358788 2671550717576 5343101435152