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1157997922488 = 2334114159239281
BaseRepresentation
bin10000110110011110000…
…011100000100010111000
311002200222212101111110000
4100312132003200202320
5122433034432004423
62243551002153000
7146443160635401
oct20663603404270
94080885344400
101157997922488
11407116702640
121685171b2760
13852778115c4
14400940c09a8
15201c7580843
hex10d9e0e08b8

1157997922488 has 640 divisors, whose sum is σ = 3714657408000. Its totient is φ = 333946368000.

The previous prime is 1157997922453. The next prime is 1157997922519. The reversal of 1157997922488 is 8842297997511.

1157997922488 is a `hidden beast` number, since 1 + 1 + 5 + 79 + 9 + 79 + 2 + 2 + 488 = 666.

It is a super-2 number, since 2×11579979224882 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4120988908 + ... + 4120989188.

It is an arithmetic number, because the mean of its divisors is an integer number (5804152200).

Almost surely, 21157997922488 is an apocalyptic number.

1157997922488 is a gapful number since it is divisible by the number (18) 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 1157997922488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857328704000).

1157997922488 is an abundant number, since it is smaller than the sum of its proper divisors (2556659485512).

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

1157997922488 is a wasteful number, since it uses less digits than its factorization.

1157997922488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 72.

The spelling of 1157997922488 in words is "one trillion, one hundred fifty-seven billion, nine hundred ninety-seven million, nine hundred twenty-two thousand, four hundred eighty-eight".