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1157396393088 = 273213409188957
BaseRepresentation
bin10000110101111010001…
…100110110110010000000
311002122102221111122020100
4100311322030312302000
5122430321434034323
62243411153242400
7146422235006355
oct20657214666200
94078387448210
101157396393088
114069380aa701
12168389863400
13851acccb850
144003825a62c
152018e85e943
hex10d7a336c80

1157396393088 has 192 divisors, whose sum is σ = 3595511719800. Its totient is φ = 355249373184.

The previous prime is 1157396393081. The next prime is 1157396393099. The reversal of 1157396393088 is 8803936937511.

1157396393088 is a `hidden beast` number, since 1 + 15 + 73 + 96 + 393 + 0 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 970004372544 + 187392020544 = 984888^2 + 432888^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11573963930882 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1157396393081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6030706 + ... + 6219662.

Almost surely, 21157396393088 is an apocalyptic number.

1157396393088 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 1157396393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797755859900).

1157396393088 is an abundant number, since it is smaller than the sum of its proper divisors (2438115326712).

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

1157396393088 is a wasteful number, since it uses less digits than its factorization.

1157396393088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189399 (or 189384 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1157396393088 in words is "one trillion, one hundred fifty-seven billion, three hundred ninety-six million, three hundred ninety-three thousand, eighty-eight".