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132917811432 = 23372946035927
BaseRepresentation
bin111101111001010000…
…1001101100011101000
3110201002021022102102220
41323302201031203220
54134203424431212
6141021145554040
712413553520140
oct1736241154350
9421067272386
10132917811432
115140870403a
1221915aa5920
13c6c3540783
14660cbd9920
1536ce0c038c
hex1ef284d8e8

132917811432 has 128 divisors (see below), whose sum is σ = 393012172800. Its totient is φ = 36652831488.

The previous prime is 132917811419. The next prime is 132917811443. The reversal of 132917811432 is 234118719231.

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

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 31 ways as a sum of consecutive naturals, for example, 22422853 + ... + 22428779.

It is an arithmetic number, because the mean of its divisors is an integer number (3070407600).

Almost surely, 2132917811432 is an apocalyptic number.

132917811432 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 132917811432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196506086400).

132917811432 is an abundant number, since it is smaller than the sum of its proper divisors (260094361368).

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

132917811432 is a wasteful number, since it uses less digits than its factorization.

132917811432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575 (or 10571 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 132917811432 in words is "one hundred thirty-two billion, nine hundred seventeen million, eight hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4603 4872 5927 9206 11854 13809 17781 18412 23708 27618 32221 35562 36824 41489 47416 55236 64442 71124 82978 96663 110472 124467 128884 133487 142248 165956 171883 193326 248934 257768 266974 331912 343766 386652 400461 497868 515649 533948 687532 773304 800922 934409 995736 1031298 1067896 1203181 1375064 1601844 1868818 2062596 2406362 2803227 3203688 3609543 3737636 4125192 4812724 5606454 7219086 7475272 9625448 11212908 14438172 22425816 27281981 28876344 54563962 81845943 109127924 163691886 190973867 218255848 327383772 381947734 572921601 654767544 763895468 791177449 1145843202 1527790936 1582354898 2291686404 2373532347 3164709796 4583372808 4747064694 5538242143 6329419592 9494129388 11076484286 16614726429 18988258776 22152968572 33229452858 44305937144 66458905716 132917811432