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152525136213432 = 23335329345472013
BaseRepresentation
bin100010101011100010000110…
…100100000011010110111000
3202000001021000222202022011000
4202223202012210003112320
5124442432434332312212
61300221025200405000
744061402030342153
oct4253420644032670
9660037028668130
10152525136213432
1144665602085754
1215134487616760
13671509ba67208
1429943825b2c9a
1512977deb6c1dc
hex8ab8869035b8

152525136213432 has 128 divisors (see below), whose sum is σ = 433148216558400. Its totient is φ = 49712186174976.

The previous prime is 152525136213427. The next prime is 152525136213467. The reversal of 152525136213432 is 234312631525251.

152525136213432 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 2 + 5 + 13 + 621 + 3 + 4 + 3 + 2 = 666.

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, 19381743 + ... + 26090270.

Almost surely, 2152525136213432 is an apocalyptic number.

152525136213432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152525136213432 is an abundant number, since it is smaller than the sum of its proper divisors (280623080344968).

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

152525136213432 is a wasteful number, since it uses less digits than its factorization.

152525136213432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45472374 (or 45472364 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

Adding to 152525136213432 its reverse (234312631525251), we get a palindrome (386837767738683).

The spelling of 152525136213432 in words is "one hundred fifty-two trillion, five hundred twenty-five billion, one hundred thirty-six million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 293 318 424 477 586 636 879 954 1172 1272 1431 1758 1908 2344 2637 2862 3516 3816 5274 5724 7032 7911 10548 11448 15529 15822 21096 31058 31644 46587 62116 63288 93174 124232 139761 186348 279522 372696 419283 559044 838566 1118088 1677132 3354264 45472013 90944026 136416039 181888052 272832078 363776104 409248117 545664156 818496234 1091328312 1227744351 1636992468 2410016689 2455488702 3273984936 4820033378 4910977404 7230050067 9640066756 9821954808 13323299809 14460100134 19280133512 21690150201 26646599618 28920200268 39969899427 43380300402 53293199236 57840400536 65070450603 79939798854 86760600804 106586398472 119909698281 130140901206 159879597708 173521201608 239819396562 260281802412 319759195416 359729094843 479638793124 520563604824 706134889877 719458189686 959277586248 1412269779754 1438916379372 2118404669631 2824539559508 2877832758744 4236809339262 5649079119016 6355214008893 8473618678524 12710428017786 16947237357048 19065642026679 25420856035572 38131284053358 50841712071144 76262568106716 152525136213432