Search a number
-
+
15055501656 = 233131919113297
BaseRepresentation
bin11100000010110000…
…01011100101011000
31102212020120201122110
432001120023211120
5221313202023111
610525535352320
71042042436556
oct160130134530
942766521573
1015055501656
116426490258
122b020826a0
13155c1ac680
14a2b750bd6
155d1b295a6
hex38160b958

15055501656 has 128 divisors (see below), whose sum is σ = 42894028800. Its totient is φ = 4365342720.

The previous prime is 15055501651. The next prime is 15055501691. The reversal of 15055501656 is 65610555051.

It is a super-2 number, since 2×150555016562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15055501651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125600 + ... + 1138896.

It is an arithmetic number, because the mean of its divisors is an integer number (335109600).

Almost surely, 215055501656 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 15055501656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21447014400).

15055501656 is an abundant number, since it is smaller than the sum of its proper divisors (27838527144).

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

15055501656 is a wasteful number, since it uses less digits than its factorization.

15055501656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13529 (or 13525 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 15055501656 in words is "fifteen billion, fifty-five million, five hundred one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 191 228 247 312 382 456 494 573 741 764 988 1146 1482 1528 1976 2292 2483 2964 3629 4584 4966 5928 7258 7449 9932 10887 13297 14516 14898 19864 21774 26594 29032 29796 39891 43548 47177 53188 59592 79782 87096 94354 106376 141531 159564 172861 188708 252643 283062 319128 345722 377416 505286 518583 566124 691444 757929 1010572 1037166 1132248 1382888 1515858 2021144 2074332 2539727 3031716 3284359 4148664 5079454 6063432 6568718 7619181 9853077 10158908 13137436 15238362 19706154 20317816 26274872 30476724 33016451 39412308 48254813 60953448 66032902 78824616 96509626 99049353 132065804 144764439 193019252 198098706 264131608 289528878 386038504 396197412 579057756 627312569 792394824 1158115512 1254625138 1881937707 2509250276 3763875414 5018500552 7527750828 15055501656