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132616260294 = 23741611279941
BaseRepresentation
bin111101110000010001…
…0111000101011000110
3110200022020220001001020
41323200202320223012
54133044230312134
6140531214412010
712403232420250
oct1734042705306
9420266801036
10132616260294
1151273470221
1221850b01006
13c675c1b94b
1465c0b40cd0
1536b28a6b49
hex1ee08b8ac6

132616260294 has 128 divisors (see below), whose sum is σ = 318123638784. Its totient is φ = 36070272000.

The previous prime is 132616260251. The next prime is 132616260379. The reversal of 132616260294 is 492062616231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13335364 + ... + 13345304.

It is an arithmetic number, because the mean of its divisors is an integer number (2485340928).

Almost surely, 2132616260294 is an apocalyptic number.

132616260294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132616260294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159061819392).

132616260294 is an abundant number, since it is smaller than the sum of its proper divisors (185507378490).

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

132616260294 is a wasteful number, since it uses less digits than its factorization.

132616260294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182.

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 132616260294 in words is "one hundred thirty-two billion, six hundred sixteen million, two hundred sixty thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 41 42 61 82 122 123 127 183 246 254 287 366 381 427 574 762 854 861 889 1281 1722 1778 2501 2562 2667 5002 5207 5334 7503 7747 9941 10414 15006 15494 15621 17507 19882 23241 29823 31242 35014 36449 46482 52521 54229 59646 69587 72898 105042 108458 109347 139174 162687 208761 218694 317627 325374 407581 417522 606401 635254 815162 952881 1212802 1222743 1262507 1819203 1905762 2223389 2445486 2525014 2853067 3638406 3787521 4244807 4446778 5706134 6670167 7575042 8489614 8559201 8837549 12734421 13340334 17118402 17675098 24862441 25468842 26512647 49724882 51762787 53025294 74587323 77012927 103525574 149174646 154025854 155288361 174037087 231038781 310576722 348074174 362339509 462077562 522111261 539090489 724679018 1044222522 1078180978 1087018527 1617271467 2174037054 3157530007 3234542934 6315060014 9472590021 18945180042 22102710049 44205420098 66308130147 132616260294