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157099859400 = 23352111731347
BaseRepresentation
bin1001001001001111100…
…0011001110111001000
3120000111120002202000010
42102103320121313020
510033220031000100
6200100511111520
714231036525541
oct2222370316710
9500446082003
10157099859400
1160697858650
12265445125a0
1311a78479bb3
1478646a34c8
154147071750
hex2493e19dc8

157099859400 has 768 divisors, whose sum is σ = 593653432320. Its totient is φ = 33950208000.

The previous prime is 157099859393. The next prime is 157099859443. The reversal of 157099859400 is 4958990751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3342550177 + ... + 3342550223.

It is an arithmetic number, because the mean of its divisors is an integer number (772986240).

Almost surely, 2157099859400 is an apocalyptic number.

157099859400 is a gapful number since it is divisible by the number (10) 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 157099859400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296826716160).

157099859400 is an abundant number, since it is smaller than the sum of its proper divisors (436553572920).

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

157099859400 is a wasteful number, since it uses less digits than its factorization.

157099859400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 157099859400 in words is "one hundred fifty-seven billion, ninety-nine million, eight hundred fifty-nine thousand, four hundred".