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15132001356 = 223219316111699
BaseRepresentation
bin11100001011111000…
…00000010001001100
31110001120112022111200
432011330000101030
5221442243020411
610541311145500
71043661614013
oct160574002114
943046468450
1015132001356
11646569064a
122b23815290
131571cb5774
14a37985a7a
155d86dae56
hex385f0044c

15132001356 has 144 divisors (see below), whose sum is σ = 42247296000. Its totient is φ = 4548182400.

The previous prime is 15132001351. The next prime is 15132001397. The reversal of 15132001356 is 65310023151.

It is not an unprimeable number, because it can be changed into a prime (15132001351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287595 + ... + 1299293.

It is an arithmetic number, because the mean of its divisors is an integer number (293384000).

Almost surely, 215132001356 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 15132001356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648000).

15132001356 is an abundant number, since it is smaller than the sum of its proper divisors (27115294644).

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

15132001356 is a wasteful number, since it uses less digits than its factorization.

15132001356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11820 (or 11815 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 15132001356 in words is "fifteen billion, one hundred thirty-two million, one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 61 62 76 93 114 122 124 171 183 186 228 244 279 342 366 372 549 558 589 684 732 1098 1116 1159 1178 1767 1891 2196 2318 2356 3477 3534 3782 4636 5301 5673 6954 7068 7564 10431 10602 11346 11699 13908 17019 20862 21204 22692 23398 34038 35097 35929 41724 46796 68076 70194 71858 105291 107787 140388 143716 210582 215574 222281 323361 362669 421164 431148 444562 646722 666843 713639 725338 889124 1088007 1293444 1333686 1427278 1450676 2000529 2140917 2176014 2667372 2854556 3264021 4001058 4281834 4352028 6422751 6528042 6890711 8002116 8563668 12845502 13056084 13559141 13781422 20672133 22122809 25691004 27118282 27562844 40677423 41344266 44245618 54236564 62016399 66368427 81354846 82688532 88491236 122032269 124032798 132736854 162709692 199105281 244064538 248065596 265473708 398210562 420333371 488129076 796421124 840666742 1261000113 1681333484 2522000226 3783000339 5044000452 7566000678 15132001356