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155513499904 = 28745032
BaseRepresentation
bin1001000011010101010…
…0111011000100000000
3112212102000002022212201
42100311110323010000
510021442423444104
6155235242002544
714143524640000
oct2206524730400
9485360068781
10155513499904
115aa53353244
12261811a6454
131188490ba39
147753b20000
1540a2b690a4
hex243553b100

155513499904 has 135 divisors (see below), whose sum is σ = 362855945543. Its totient is φ = 66516140544.

The previous prime is 155513499899. The next prime is 155513499907. The reversal of 155513499904 is 409994315551.

The square root of 155513499904 is 394352.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (155513499907) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 309171717 + ... + 309172219.

Almost surely, 2155513499904 is an apocalyptic number.

155513499904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

155513499904 is the 394352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155513499904

155513499904 is an abundant number, since it is smaller than the sum of its proper divisors (207342445639).

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

155513499904 is an frugal number, since it uses more digits than its factorization.

155513499904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 55.

The spelling of 155513499904 in words is "one hundred fifty-five billion, five hundred thirteen million, four hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 503 686 784 896 1006 1372 1568 1792 2012 2401 2744 3136 3521 4024 4802 5488 6272 7042 8048 9604 10976 12544 14084 16096 19208 21952 24647 28168 32192 38416 43904 49294 56336 64384 76832 87808 98588 112672 128768 153664 172529 197176 225344 253009 307328 345058 394352 450688 506018 614656 690116 788704 901376 1012036 1207703 1380232 1577408 1771063 2024072 2415406 2760464 3154816 3542126 4048144 4830812 5520928 6309632 7084252 8096288 9661624 11041856 12397441 14168504 16192576 19323248 22083712 24794882 28337008 32385152 38646496 44167424 49589764 56674016 64770304 77292992 86782087 99179528 113348032 154585984 173564174 198359056 226696064 309171968 347128348 396718112 453392128 607474609 694256696 793436224 1214949218 1388513392 1586872448 2429898436 2777026784 3173744896 4859796872 5554053568 9719593744 11108107136 19439187488 22216214272 38878374976 77756749952 155513499904