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132087023952 = 24313349606527
BaseRepresentation
bin111101100000100000…
…0000000100101010000
3110121221101001001021020
41323001000000211100
54131003234231302
6140402511155440
712354145115202
oct1730100004520
9417841031236
10132087023952
1151021755114
1221723815b80
13c5c039b350
146570738772
1536811b5ebc
hex1ec1000950

132087023952 has 80 divisors (see below), whose sum is σ = 368526412800. Its totient is φ = 40525641216.

The previous prime is 132087023923. The next prime is 132087023977. The reversal of 132087023952 is 259320780231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85488 + ... + 521039.

It is an arithmetic number, because the mean of its divisors is an integer number (4606580160).

Almost surely, 2132087023952 is an apocalyptic number.

132087023952 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 132087023952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184263206400).

132087023952 is an abundant number, since it is smaller than the sum of its proper divisors (236439388848).

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

132087023952 is a wasteful number, since it uses less digits than its factorization.

132087023952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606900 (or 606894 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 132087023952 in words is "one hundred thirty-two billion, eighty-seven million, twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 349 624 698 1047 1396 2094 2792 4188 4537 5584 8376 9074 13611 16752 18148 27222 36296 54444 72592 108888 217776 606527 1213054 1819581 2426108 3639162 4852216 7278324 7884851 9704432 14556648 15769702 23654553 29113296 31539404 47309106 63078808 94618212 126157616 189236424 211677923 378472848 423355846 635033769 846711692 1270067538 1693423384 2540135076 2751812999 3386846768 5080270152 5503625998 8255438997 10160540304 11007251996 16510877994 22014503992 33021755988 44029007984 66043511976 132087023952