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132229660968 = 233210787719571
BaseRepresentation
bin111101100100110000…
…0001000000100101000
3110122022022102202110200
41323021200020010220
54131301243122333
6140425004312200
712360526400436
oct1731140100450
9418268382420
10132229660968
1151095218449
1221763542660
13c613abca52
146585667d56
15368d98dc13
hex1ec9808128

132229660968 has 96 divisors (see below), whose sum is σ = 361899588960. Its totient is φ = 43612606080.

The previous prime is 132229660951. The next prime is 132229660993. The reversal of 132229660968 is 869066922231.

It is a happy number.

132229660968 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 29 + 6 + 609 + 6 + 8 = 666.

It is a super-3 number, since 3×1322296609683 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6746623 + ... + 6766193.

It is an arithmetic number, because the mean of its divisors is an integer number (3769787385).

Almost surely, 2132229660968 is an apocalyptic number.

132229660968 is a gapful number since it is divisible by the number (18) 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 132229660968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180949794480).

132229660968 is an abundant number, since it is smaller than the sum of its proper divisors (229669927992).

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

132229660968 is a wasteful number, since it uses less digits than its factorization.

132229660968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20567 (or 20560 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 132229660968 in words is "one hundred thirty-two billion, two hundred twenty-nine million, six hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 877 963 1284 1754 1926 2568 2631 3508 3852 5262 7016 7704 7893 10524 15786 19571 21048 31572 39142 58713 63144 78284 93839 117426 156568 176139 187678 234852 281517 352278 375356 469704 563034 704556 750712 844551 1126068 1409112 1689102 2094097 2252136 3378204 4188194 6282291 6756408 8376388 12564582 16752776 17163767 18846873 25129164 34327534 37693746 50258328 51491301 68655068 75387492 102982602 137310136 150774984 154473903 205965204 308947806 411930408 617895612 1235791224 1836523069 3673046138 5509569207 7346092276 11019138414 14692184552 16528707621 22038276828 33057415242 44076553656 66114830484 132229660968