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1157438837808 = 243411797101869
BaseRepresentation
bin10000110101111100101…
…110110001010000110000
311002122112220101001110000
4100311330232301100300
5122430413320302213
62243415311110000
7146423261536041
oct20657456612060
94078486331400
101157438837808
1140695a05aa90
1216839bb12300
13851b8a40076
144003db488c8
1520193445c73
hex10d7cbb1430

1157438837808 has 200 divisors, whose sum is σ = 3659127207120. Its totient is φ = 350295528960.

The previous prime is 1157438837803. The next prime is 1157438837809. The reversal of 1157438837808 is 8087388347511.

1157438837808 is a `hidden beast` number, since 1 + 1 + 57 + 438 + 83 + 78 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1157438837803) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 11311098 + ... + 11412966.

Almost surely, 21157438837808 is an apocalyptic number.

1157438837808 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 1157438837808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829563603560).

1157438837808 is an abundant number, since it is smaller than the sum of its proper divisors (2501688369312).

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

1157438837808 is a wasteful number, since it uses less digits than its factorization.

1157438837808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102697 (or 102682 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 1157438837808 in words is "one trillion, one hundred fifty-seven billion, four hundred thirty-eight million, eight hundred thirty-seven thousand, eight hundred eight".