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132323166121432 = 231113211237922947
BaseRepresentation
bin11110000101100011100011…
…010011111110110111011000
3122100111222012221221001211111
4132011203203103332313120
5114320440321011341212
61145232231234310104
736605014261004626
oct3605434323766730
9570458187831744
10132323166121432
1139186a37688210
1212a11148728334
1358ab03725c100
142496692762516
15104706890aea7
hex7858e34fedd8

132323166121432 has 96 divisors (see below), whose sum is σ = 293343663602880. Its totient is φ = 55470763370880.

The previous prime is 132323166121429. The next prime is 132323166121459. The reversal of 132323166121432 is 234121661323231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12739783 + ... + 20662729.

It is an arithmetic number, because the mean of its divisors is an integer number (3055663162530).

Almost surely, 2132323166121432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323166121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146671831801440).

132323166121432 is an abundant number, since it is smaller than the sum of its proper divisors (161020497481448).

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

132323166121432 is a wasteful number, since it uses less digits than its factorization.

132323166121432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924113 (or 7924096 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The spelling of 132323166121432 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, one hundred sixty-six million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 572 676 1123 1144 1352 1859 2246 3718 4492 7436 8984 12353 14599 14872 24706 29198 49412 58396 98824 116792 160589 189787 321178 379574 642356 759148 1284712 1518296 2087657 4175314 7922947 8350628 15845894 16701256 31691788 63383576 87152417 102998311 174304834 205996622 348609668 411993244 697219336 823986488 1132981421 1338978043 2265962842 2677956086 4531925684 5355912172 8897469481 9063851368 10711824344 14728758473 17794938962 29457516946 35589877924 58915033892 71179755848 97872164291 115667103253 117830067784 195744328582 231334206506 391488657164 462668413012 782977314328 925336826024 1272338135783 1503672342289 2544676271566 3007344684578 5089352543132 6014689369156 10178705086264 12029378738312 16540395765179 33080791530358 66161583060716 132323166121432