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5335102448 = 24132371113139
BaseRepresentation
bin1001111011111111…
…10011001111110000
3111202210221021200222
410331333303033300
541411241234243
62241221432212
7246131423354
oct47577631760
914683837628
105335102448
112298587485
12104a86b668
136703c9c70
143887b1464
1521359b168
hex13dff33f0

5335102448 has 160 divisors (see below), whose sum is σ = 11969233920. Its totient is φ = 2285015040.

The previous prime is 5335102447. The next prime is 5335102453. The reversal of 5335102448 is 8442015335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335102441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38381963 + ... + 38382101.

It is an arithmetic number, because the mean of its divisors is an integer number (74807712).

Almost surely, 25335102448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5335102448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

5335102448 is an abundant number, since it is smaller than the sum of its proper divisors (6634131472).

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

5335102448 is a wasteful number, since it uses less digits than its factorization.

5335102448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 5335102448 is about 73041.7856298708. The cubic root of 5335102448 is about 1747.3540911179.

The spelling of 5335102448 in words is "five billion, three hundred thirty-five million, one hundred two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 71 92 104 113 139 142 184 208 226 278 284 299 368 452 556 568 598 904 923 1112 1136 1196 1469 1633 1807 1808 1846 2224 2392 2599 2938 3197 3266 3614 3692 4784 5198 5876 6394 6532 7228 7384 8023 9869 10396 11752 12788 13064 14456 14768 15707 16046 19738 20792 21229 23504 25576 26128 28912 31414 32092 33787 39476 41561 41584 42458 51152 62828 64184 67574 78952 83122 84916 104299 125656 128297 128368 135148 157904 166244 169832 184529 204191 208598 226987 251312 256594 270296 332488 339664 361261 369058 408382 417196 453974 513188 540592 664976 722522 738116 816764 834392 907948 1026376 1115197 1445044 1476232 1633528 1668784 1815896 2052752 2230394 2398877 2890088 2950831 2952464 3267056 3631792 4460788 4696393 4797754 5780176 5901662 8921576 9392786 9595508 11803324 14497561 17843152 18785572 19191016 23606648 25649531 28995122 37571144 38382032 47213296 51299062 57990244 75142288 102598124 115980488 205196248 231960976 333443903 410392496 666887806 1333775612 2667551224 5335102448