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151510560156 = 223341101338777
BaseRepresentation
bin1000110100011010111…
…0111010110110011100
3112111002000211220212000
42031012232322312130
54440243200411111
6153334125042300
713642400340504
oct2150656726634
9474060756760
10151510560156
115928984137a
12254446b6390
13113974cb237
147494242a04
153e1b512c56
hex2346bbad9c

151510560156 has 96 divisors (see below), whose sum is σ = 406370986560. Its totient is φ = 48783744000.

The previous prime is 151510560067. The next prime is 151510560161. The reversal of 151510560156 is 651065015151.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 151510560156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277840 + ... + 616616.

It is an arithmetic number, because the mean of its divisors is an integer number (4233031110).

Almost surely, 2151510560156 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 151510560156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203185493280).

151510560156 is an abundant number, since it is smaller than the sum of its proper divisors (254860426404).

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

151510560156 is a wasteful number, since it uses less digits than its factorization.

151510560156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338932 (or 338924 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 151510560156 in words is "one hundred fifty-one billion, five hundred ten million, five hundred sixty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 101 108 123 164 202 246 303 369 404 492 606 738 909 1107 1212 1476 1818 2214 2727 3636 4141 4428 5454 8282 10908 12423 16564 24846 37269 49692 74538 111807 149076 223614 338777 447228 677554 1016331 1355108 2032662 3048993 4065324 6097986 9146979 12195972 13889857 18293958 27779714 34216477 36587916 41669571 55559428 68432954 83339142 102649431 125008713 136865908 166678284 205298862 250017426 307948293 375026139 410597724 500034852 615896586 750052278 923844879 1231793172 1402875557 1500104556 1847689758 2805751114 3695379516 4208626671 5611502228 8417253342 12625880013 16834506684 25251760026 37877640039 50503520052 75755280078 151510560156