Search a number
-
+
153402513111552 = 2931754110859131
BaseRepresentation
bin100010111000010011001110…
…010011010011101000000000
3202010011010200220011201211010
4202320103032103103220000
5130101321321324032202
61302132050332320520
744211652165046355
oct4270231623235000
9663133626151733
10153402513111552
1144973705502231
1215256527313140
136779a445774b3
1429c4a1517a62c
1512b0540ed776c
hex8b84ce4d3a00

153402513111552 has 160 divisors (see below), whose sum is σ = 433513402812864. Its totient is φ = 48037316198400.

The previous prime is 153402513111541. The next prime is 153402513111593. The reversal of 153402513111552 is 255111315204351.

It is a self number, because there is not a number n which added to its sum of digits gives 153402513111552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8697027 + ... + 19556157.

Almost surely, 2153402513111552 is an apocalyptic number.

153402513111552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153402513111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216756701406432).

153402513111552 is an abundant number, since it is smaller than the sum of its proper divisors (280110889701312).

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

153402513111552 is a wasteful number, since it uses less digits than its factorization.

153402513111552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10859710 (or 10859694 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 39.

The spelling of 153402513111552 in words is "one hundred fifty-three trillion, four hundred two billion, five hundred thirteen million, one hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 541 544 768 816 1082 1088 1536 1623 1632 2164 2176 3246 3264 4328 4352 6492 6528 8656 8704 9197 12984 13056 17312 18394 25968 26112 27591 34624 36788 51936 55182 69248 73576 103872 110364 138496 147152 207744 220728 276992 294304 415488 441456 588608 830976 882912 1177216 1765824 2354432 3531648 4708864 7063296 10859131 14126592 21718262 32577393 43436524 65154786 86873048 130309572 173746096 184605227 260619144 347492192 369210454 521238288 553815681 694984384 738420908 1042476576 1107631362 1389968768 1476841816 2084953152 2215262724 2779937536 2953683632 4169906304 4430525448 5559875072 5874789871 5907367264 8339812608 8861050896 11749579742 11814734528 16679625216 17624369613 17722101792 23499159484 23629469056 35248739226 35444203584 46998318968 47258938112 70497478452 70888407168 93996637936 94517876224 99871427807 140994956904 141776814336 187993275872 199742855614 281989913808 283553628672 299614283421 375986551744 399485711228 563979827616 599228566842 751973103488 798971422456 1127959655232 1198457133684 1503946206976 1597942844912 2255919310464 2396914267368 3007892413952 3195885689824 4511838620928 4793828534736 6391771379648 9023677241856 9587657069472 12783542759296 19175314138944 25567085518592 38350628277888 51134171037184 76701256555776 153402513111552