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157379011600 = 24523710633717
BaseRepresentation
bin1001001010010010000…
…1010010010000010000
3120001020000101010211111
42102210201102100100
510034303011332400
6200144322223104
714240666345416
oct2224441222020
9501200333744
10157379011600
1160820392848
1226601ab4a94
1311ac1258705
14788d7ab2b6
1541618133ba
hex24a4852410

157379011600 has 60 divisors (see below), whose sum is σ = 388322113924. Its totient is φ = 61250204160.

The previous prime is 157379011591. The next prime is 157379011649. The reversal of 157379011600 is 6110973751.

It can be written as a sum of positive squares in 6 ways, for example, as 3184570624 + 154194440976 = 56432^2 + 392676^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5302059 + ... + 5331658.

Almost surely, 2157379011600 is an apocalyptic number.

157379011600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157379011600 is an abundant number, since it is smaller than the sum of its proper divisors (230943102324).

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

157379011600 is a wasteful number, since it uses less digits than its factorization.

157379011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633772 (or 10633761 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 40.

The spelling of 157379011600 in words is "one hundred fifty-seven billion, three hundred seventy-nine million, eleven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 10633717 21267434 42534868 53168585 85069736 106337170 170139472 212674340 265842925 393447529 425348680 531685850 786895058 850697360 1063371700 1573790116 1967237645 2126743400 3147580232 3934475290 4253486800 6295160464 7868950580 9836188225 15737901160 19672376450 31475802320 39344752900 78689505800 157379011600