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157066830144 = 2632738955067
BaseRepresentation
bin1001001001000111101…
…0011010000101000000
3120000102020221200101100
42102101322122011000
510033133102031034
6200053331134400
714230156012410
oct2222172320500
9500366850340
10157066830144
1160680149244
1226535444400
1311a71684163
147860146640
1541441ea099
hex2491e9a140

157066830144 has 84 divisors (see below), whose sum is σ = 514518538144. Its totient is φ = 44876236032.

The previous prime is 157066830127. The next prime is 157066830157. The reversal of 157066830144 is 441038660751.

157066830144 is a `hidden beast` number, since 1 + 570 + 6 + 6 + 8 + 30 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 157066830144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19473502 + ... + 19481565.

Almost surely, 2157066830144 is an apocalyptic number.

157066830144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

157066830144 is an abundant number, since it is smaller than the sum of its proper divisors (357451708000).

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

157066830144 is a wasteful number, since it uses less digits than its factorization.

157066830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38955092 (or 38955079 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 157066830144 in words is "one hundred fifty-seven billion, sixty-six million, eight hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 38955067 77910134 116865201 155820268 233730402 272685469 311640536 350595603 467460804 545370938 623281072 701191206 818056407 934921608 1090741876 1246562144 1402382412 1636112814 1869843216 2181483752 2454169221 2493124288 2804764824 3272225628 3739686432 4362967504 4908338442 5609529648 6544451256 7479372864 8725935008 9816676884 11219059296 13088902512 17451870016 19633353768 22438118592 26177805024 39266707536 52355610048 78533415072 157066830144