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31486690944 = 2732231111827
BaseRepresentation
bin11101010100110000…
…001100011010000000
310000021100202121221200
4131110300030122000
51003441043102234
622244221021200
72163161312532
oct352460143200
9100240677850
1031486690944
1112398463a35
1261289b4800
132c7a3a7597
141749a85852
15c443e4d99
hex754c0c680

31486690944 has 96 divisors (see below), whose sum is σ = 90653103840. Its totient is φ = 10490135040.

The previous prime is 31486690931. The next prime is 31486690973. The reversal of 31486690944 is 44909668413.

It is a happy number.

31486690944 is a `hidden beast` number, since 31 + 486 + 6 + 90 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×314866909442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2656359 + ... + 2668185.

It is an arithmetic number, because the mean of its divisors is an integer number (944303165).

Almost surely, 231486690944 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 31486690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45326551920).

31486690944 is an abundant number, since it is smaller than the sum of its proper divisors (59166412896).

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

31486690944 is a wasteful number, since it uses less digits than its factorization.

31486690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14158 (or 14143 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 31486690944 in words is "thirty-one billion, four hundred eighty-six million, six hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2311 4622 6933 9244 11827 13866 18488 20799 23654 27732 35481 36976 41598 47308 55464 70962 73952 83196 94616 106443 110928 141924 147904 166392 189232 212886 221856 283848 295808 332784 378464 425772 443712 567696 665568 756928 851544 887424 1135392 1331136 1513856 1703088 2270784 2662272 3406176 4541568 6812352 13624704 27332197 54664394 81996591 109328788 163993182 218657576 245989773 327986364 437315152 491979546 655972728 874630304 983959092 1311945456 1749260608 1967918184 2623890912 3498521216 3935836368 5247781824 7871672736 10495563648 15743345472 31486690944