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131463740992 = 2629143349429
BaseRepresentation
bin111101001101111011…
…0010111111001000000
3110120022221012222210011
41322123312113321000
54123214204202432
6140221004114304
712332536234543
oct1723366277100
9416287188704
10131463740992
1150831944431
122158ab35994
13c52120cc6c
146511a5085a
1536465e9847
hex1e9bd97e40

131463740992 has 56 divisors (see below), whose sum is σ = 270062782200. Its totient is φ = 63419682816.

The previous prime is 131463740983. The next prime is 131463741023. The reversal of 131463740992 is 299047364131.

It can be written as a sum of positive squares in 4 ways, for example, as 47238414336 + 84225326656 = 217344^2 + 290216^2 .

It is a super-2 number, since 2×1314637409922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2634934 + ... + 2684362.

Almost surely, 2131463740992 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 131463740992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135031391100).

131463740992 is an abundant number, since it is smaller than the sum of its proper divisors (138599041208).

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

131463740992 is a wasteful number, since it uses less digits than its factorization.

131463740992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50903 (or 50893 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 131463740992 in words is "one hundred thirty-one billion, four hundred sixty-three million, seven hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1433 1856 2866 5732 11464 22928 41557 45856 49429 83114 91712 98858 166228 197716 332456 395432 664912 790864 1329824 1433441 1581728 2659648 2866882 3163456 5733764 11467528 22935056 45870112 70831757 91740224 141663514 283327028 566654056 1133308112 2054120953 2266616224 4108241906 4533232448 8216483812 16432967624 32865935248 65731870496 131463740992