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157306038520 = 23573317169943
BaseRepresentation
bin1001001010000000101…
…0111010100011111000
3120001000221001201120211
42102200022322203320
510034130321213040
6200133154200504
714236122160051
oct2224012724370
9501027051524
10157306038520
1160793181014
12265a1583134
1311aac0b8887
147883c13728
15415a1eb8ea
hex24a02ba8f8

157306038520 has 64 divisors (see below), whose sum is σ = 359920998720. Its totient is φ = 61864326144.

The previous prime is 157306038493. The next prime is 157306038583. The reversal of 157306038520 is 25830603751.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840669 + ... + 1010611.

It is an arithmetic number, because the mean of its divisors is an integer number (5623765605).

Almost surely, 2157306038520 is an apocalyptic number.

157306038520 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 157306038520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179960499360).

157306038520 is an abundant number, since it is smaller than the sum of its proper divisors (202614960200).

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

157306038520 is a wasteful number, since it uses less digits than its factorization.

157306038520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170344 (or 170340 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 157306038520 in words is "one hundred fifty-seven billion, three hundred six million, thirty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 317 365 584 634 730 1268 1460 1585 2536 2920 3170 6340 12680 23141 46282 92564 115705 169943 185128 231410 339886 462820 679772 849715 925640 1359544 1699430 3398860 6797720 12405839 24811678 49623356 53871931 62029195 99246712 107743862 124058390 215487724 248116780 269359655 430975448 496233560 538719310 1077438620 2154877240 3932650963 7865301926 15730603852 19663254815 31461207704 39326509630 78653019260 157306038520