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155664036 = 22321117191217
BaseRepresentation
bin10010100011100…
…11111010100100
3101211220112220200
421101303322210
5304322222121
623240230500
73600060003
oct1121637244
9354815820
10155664036
117a960770
124416b430
1326332cc8
1416960c3a
15d9eca26
hex9473ea4

155664036 has 144 divisors (see below), whose sum is σ = 478820160. Its totient is φ = 42024960.

The previous prime is 155664031. The next prime is 155664059. The reversal of 155664036 is 630466551.

155664036 is a `hidden beast` number, since 1 + 5 + 5 + 6 + 640 + 3 + 6 = 666.

155664036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (155664031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127300 + ... + 128516.

It is an arithmetic number, because the mean of its divisors is an integer number (3325140).

Almost surely, 2155664036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155664036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239410080).

155664036 is an abundant number, since it is smaller than the sum of its proper divisors (323156124).

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

155664036 is a wasteful number, since it uses less digits than its factorization.

155664036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 155664036 is about 12476.5394240551. The cubic root of 155664036 is about 537.9345378079.

The spelling of 155664036 in words is "one hundred fifty-five million, six hundred sixty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 19 22 33 34 36 38 44 51 57 66 68 76 99 102 114 132 153 171 187 198 204 209 228 306 323 342 374 396 418 561 612 627 646 684 748 836 969 1122 1217 1254 1292 1683 1881 1938 2244 2434 2508 2907 3366 3553 3651 3762 3876 4868 5814 6732 7106 7302 7524 10659 10953 11628 13387 14212 14604 20689 21318 21906 23123 26774 31977 40161 41378 42636 43812 46246 53548 62067 63954 69369 80322 82756 92492 120483 124134 127908 138738 160644 186201 208107 227579 240966 248268 254353 277476 372402 393091 416214 455158 481932 508706 682737 744804 763059 786182 832428 910316 1017412 1179273 1365474 1526118 1572364 2048211 2289177 2358546 2730948 3052236 3537819 4096422 4324001 4578354 4717092 7075638 8192844 8648002 9156708 12972003 14151276 17296004 25944006 38916009 51888012 77832018 155664036