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130565623032 = 23341317389591
BaseRepresentation
bin111100110011001010…
…0010100110011111000
3110111000100020212120000
41321212110110303320
54114344244414112
6135551522233000
712301352325045
oct1714624246370
9414010225500
10130565623032
1150410988089
122137a1b5760
13c40a125110
1464686641cc
1535e28407dc
hex1e66514cf8

130565623032 has 160 divisors (see below), whose sum is σ = 396116693280. Its totient is φ = 39941372160.

The previous prime is 130565623009. The next prime is 130565623049. The reversal of 130565623032 is 230326565031.

130565623032 is a `hidden beast` number, since 1 + 3 + 0 + 565 + 62 + 3 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1412557 + ... + 1502147.

It is an arithmetic number, because the mean of its divisors is an integer number (2475729333).

Almost surely, 2130565623032 is an apocalyptic number.

130565623032 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 130565623032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198058346640).

130565623032 is an abundant number, since it is smaller than the sum of its proper divisors (265551070248).

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

130565623032 is a wasteful number, since it uses less digits than its factorization.

130565623032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89795 (or 89782 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 130565623032 in words is "one hundred thirty billion, five hundred sixty-five million, six hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 173 216 234 312 324 346 351 468 519 648 692 702 936 1038 1053 1384 1404 1557 2076 2106 2249 2808 3114 4152 4212 4498 4671 6228 6747 8424 8996 9342 12456 13494 14013 17992 18684 20241 26988 28026 37368 40482 53976 56052 60723 80964 89591 112104 121446 161928 179182 182169 242892 268773 358364 364338 485784 537546 716728 728676 806319 1075092 1164683 1457352 1612638 2150184 2329366 2418957 3225276 3494049 4658732 4837914 6450552 6988098 7256871 9317464 9675828 10482147 13976196 14513742 15499243 19351656 20964294 27952392 29027484 30998486 31446441 41928588 46497729 58054968 61996972 62892882 83857176 92995458 94339323 123993944 125785764 139493187 185990916 188678646 201490159 251571528 278986374 371981832 377357292 402980318 418479561 557972748 604470477 754714584 805960636 836959122 1115945496 1208940954 1255438683 1611921272 1673918244 1813411431 2417881908 2510877366 3347836488 3626822862 4835763816 5021754732 5440234293 7253645724 10043509464 10880468586 14507291448 16320702879 21760937172 32641405758 43521874344 65282811516 130565623032