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32153146551042 = 231117472292662547
BaseRepresentation
bin1110100111110001111001…
…11000001110101100000010
311012211210220001210110220020
413103320330320032230002
513203244121004113132
6152214541314154310
76525662642164566
oct723707470165402
9135753801713806
1032153146551042
11a277088aa73a0
1237335b3882996
1314c304b0c939a
147d23134616a6
153ab59cc2752c
hex1d3e3ce0eb02

32153146551042 has 128 divisors (see below), whose sum is σ = 76190621552640. Its totient is φ = 8935930383360.

The previous prime is 32153146551017. The next prime is 32153146551047. The reversal of 32153146551042 is 24015564135123.

It is a super-2 number, since 2×321531465510422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32153146550985 and 32153146551003.

It is not an unprimeable number, because it can be changed into a prime (32153146551047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10744813 + ... + 13407359.

It is an arithmetic number, because the mean of its divisors is an integer number (595239230880).

Almost surely, 232153146551042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32153146551042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38095310776320).

32153146551042 is an abundant number, since it is smaller than the sum of its proper divisors (44037475001598).

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

32153146551042 is a wasteful number, since it uses less digits than its factorization.

32153146551042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662856.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 32153146551042 in words is "thirty-two trillion, one hundred fifty-three billion, one hundred forty-six million, five hundred fifty-one thousand, forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 47 51 66 94 102 141 187 229 282 374 458 517 561 687 799 1034 1122 1374 1551 1598 2397 2519 3102 3893 4794 5038 7557 7786 8789 10763 11679 15114 17578 21526 23358 26367 32289 42823 52734 64578 85646 118393 128469 182971 236786 256938 355179 365942 548913 710358 1097826 2012681 2662547 4025362 5325094 6038043 7987641 12076086 15975282 29288017 45263299 58576034 87864051 90526598 125139709 135789897 175728102 250279418 271579794 375419127 497896289 609723263 750838254 995792578 1219446526 1376536799 1493688867 1829169789 2127375053 2753073598 2987377734 3658339578 4129610397 4254750106 6382125159 6706955893 8259220794 10365295471 12764250318 13413911786 20120867679 20730590942 23401125583 28656993361 31095886413 40241735358 46802251166 57313986722 62191772826 70203376749 85970980083 114018250181 140406753498 171941960166 228036500362 315226926971 342054750543 487168887137 630453853942 684109501086 945680780913 974337774274 1461506661411 1891361561826 2923013322822 5358857758507 10717715517014 16076573275521 32153146551042