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157599993330 = 23451314966761
BaseRepresentation
bin1001001011000110110…
…0010000110111110010
3120001210102012011210000
42102301230100313302
510040231044241310
6200222254450430
714246321561133
oct2226154206762
9501712164700
10157599993330
11609240a667a
1226663b03a16
1311b27c7ac30
1478b0c91c8a
154175e144c0
hex24b1b10df2

157599993330 has 80 divisors (see below), whose sum is σ = 456366506904. Its totient is φ = 38793841920.

The previous prime is 157599993311. The next prime is 157599993337. The reversal of 157599993330 is 33399995751.

157599993330 is a `hidden beast` number, since 1 + 5 + 7 + 599 + 9 + 9 + 3 + 3 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39815812521 + 117784180809 = 199539^2 + 343197^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157599993337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7472851 + ... + 7493910.

Almost surely, 2157599993330 is an apocalyptic number.

157599993330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157599993330 is an abundant number, since it is smaller than the sum of its proper divisors (298766513574).

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

157599993330 is a wasteful number, since it uses less digits than its factorization.

157599993330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966793 (or 14966784 counting only the distinct ones).

The product of its (nonzero) digits is 31000725, while the sum is 63.

The spelling of 157599993330 in words is "one hundred fifty-seven billion, five hundred ninety-nine million, nine hundred ninety-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 14966761 29933522 44900283 74833805 89800566 134700849 149667610 194567893 224501415 269401698 389135786 404102547 449002830 583703679 673504245 808205094 972839465 1167407358 1212307641 1347008490 1751111037 1945678930 2020512735 2424615282 2918518395 3502222074 4041025470 5253333111 5837036790 6061538205 8755555185 10506666222 12123076410 15759999333 17511110370 26266665555 31519998666 52533331110 78799996665 157599993330