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20152440504 = 2332728368821
BaseRepresentation
bin10010110001001011…
…011101011010111000
31221000110101001022100
4102301023131122320
5312233011044004
613131412423400
71312252626600
oct226113353270
957013331270
1020152440504
118601588909
123aa5017b60
131b9214c611
14d92647c00
157ce32d739
hex4b12dd6b8

20152440504 has 144 divisors (see below), whose sum is σ = 64256348520. Its totient is φ = 5688385920.

The previous prime is 20152440491. The next prime is 20152440523. The reversal of 20152440504 is 40504425102.

20152440504 is a `hidden beast` number, since 2 + 0 + 152 + 4 + 4 + 0 + 504 = 666.

It is a super-2 number, since 2×201524405042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258414 + ... + 327234.

Almost surely, 220152440504 is an apocalyptic number.

20152440504 is a gapful number since it is divisible by the number (24) 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 20152440504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32128174260).

20152440504 is an abundant number, since it is smaller than the sum of its proper divisors (44103908016).

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

20152440504 is a wasteful number, since it uses less digits than its factorization.

20152440504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68930 (or 68916 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 20152440504 its reverse (40504425102), we get a palindrome (60656865606).

The spelling of 20152440504 in words is "twenty billion, one hundred fifty-two million, four hundred forty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 83 84 98 126 147 166 168 196 249 252 294 332 392 441 498 504 581 588 664 747 882 996 1162 1176 1494 1743 1764 1992 2324 2988 3486 3528 4067 4648 5229 5976 6972 8134 10458 12201 13944 16268 20916 24402 32536 36603 41832 48804 68821 73206 97608 137642 146412 206463 275284 292824 412926 481747 550568 619389 825852 963494 1238778 1445241 1651704 1926988 2477556 2890482 3372229 3853976 4335723 4955112 5712143 5780964 6744458 8671446 10116687 11424286 11561928 13488916 17136429 17342892 20233374 22848572 26977832 30350061 34272858 34685784 39985001 40466748 45697144 51409287 60700122 68545716 79970002 80933496 102818574 119955003 121400244 137091432 159940004 205637148 239910006 242800488 279895007 319880008 359865009 411274296 479820012 559790014 719730018 839685021 959640024 1119580028 1439460036 1679370042 2239160056 2519055063 2878920072 3358740084 5038110126 6717480168 10076220252 20152440504