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31352811424 = 2511222735671
BaseRepresentation
bin11101001100110001…
…011110111110100000
32222221000211211202221
4131030301132332200
51003202304431144
622223035320424
72156644333324
oct351461367640
988830754687
1031352811424
1112329932300
1260abbb0114
132c5873102c
141735d95984
15c3779bd84
hex74cc5efa0

31352811424 has 72 divisors (see below), whose sum is σ = 68148216864. Its totient is φ = 14188099200.

The previous prime is 31352811379. The next prime is 31352811433. The reversal of 31352811424 is 42411825313.

It is a self number, because there is not a number n which added to its sum of digits gives 31352811424.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 861109 + ... + 896779.

It is an arithmetic number, because the mean of its divisors is an integer number (946503012).

Almost surely, 231352811424 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 31352811424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34074108432).

31352811424 is an abundant number, since it is smaller than the sum of its proper divisors (36795405440).

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

31352811424 is a wasteful number, since it uses less digits than its factorization.

31352811424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35930 (or 35911 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The spelling of 31352811424 in words is "thirty-one billion, three hundred fifty-two million, eight hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 227 242 352 454 484 908 968 1816 1936 2497 3632 3872 4994 7264 9988 19976 27467 35671 39952 54934 71342 79904 109868 142684 219736 285368 392381 439472 570736 784762 878944 1141472 1569524 3139048 4316191 6278096 8097317 8632382 12556192 16194634 17264764 32389268 34529528 64778536 69059056 89070487 129557072 138118112 178140974 259114144 356281948 712563896 979775357 1425127792 1959550714 2850255584 3919101428 7838202856 15676405712 31352811424