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157249265130 = 2325411273071093
BaseRepresentation
bin1001001001110011001…
…0010101110111101010
3120000212222020100010200
42102130302111313222
510034021302441010
6200123405253030
714234532462006
oct2223462256752
9500788210120
10157249265130
1160764124361
1226586564176
1311aa03cb459
14787a475706
154155234cc0
hex249cc95dea

157249265130 has 192 divisors, whose sum is σ = 423880224768. Its totient is φ = 40419025920.

The previous prime is 157249265101. The next prime is 157249265167. The reversal of 157249265130 is 31562942751.

157249265130 is a `hidden beast` number, since 1 + 5 + 72 + 49 + 26 + 513 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143868864 + ... + 143869956.

It is an arithmetic number, because the mean of its divisors is an integer number (2207709504).

Almost surely, 2157249265130 is an apocalyptic number.

157249265130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157249265130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211940112384).

157249265130 is an abundant number, since it is smaller than the sum of its proper divisors (266630959638).

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

157249265130 is a wasteful number, since it uses less digits than its factorization.

157249265130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 157249265130 in words is "one hundred fifty-seven billion, two hundred forty-nine million, two hundred sixty-five thousand, one hundred thirty".