Search a number
-
+
157099399560 = 233452632701
BaseRepresentation
bin1001001001001111011…
…0101001100110001000
3120000111112020101020000
42102103312221212020
510033214421241220
6200100453203000
714231032602105
oct2222366514610
9500445211200
10157099399560
1160697574114
1226544330460
1311a783487bc
1478645c3aac
154146ed0390
hex2493da9988

157099399560 has 240 divisors, whose sum is σ = 530800009740. Its totient is φ = 41674348800.

The previous prime is 157099399507. The next prime is 157099399579. The reversal of 157099399560 is 65993990751.

It is a happy number.

157099399560 is a `hidden beast` number, since 1 + 570 + 9 + 9 + 3 + 9 + 9 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154387698084 + 2711701476 = 392922^2 + 52074^2 .

It is a super-2 number, since 2×1570993995602 (a number of 23 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 224107210 + ... + 224107910.

Almost surely, 2157099399560 is an apocalyptic number.

157099399560 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 157099399560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265400004870).

157099399560 is an abundant number, since it is smaller than the sum of its proper divisors (373700610180).

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

157099399560 is an equidigital number, since it uses as much as digits as its factorization.

157099399560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 20667150, while the sum is 63.

The spelling of 157099399560 in words is "one hundred fifty-seven billion, ninety-nine million, three hundred ninety-nine thousand, five hundred sixty".