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132045680493120 = 2635173795072739
BaseRepresentation
bin11110000001100001000111…
…111000010100001001000000
3122022112102222111202121212110
4132001201013320110021000
5114301414023201234440
61144500540450255320
736545662026043002
oct3601410770241100
9568472874677773
10132045680493120
113908a29323a669
1212987407287540
13588ab149c9c34
14248708b818372
15103ec27ad2080
hex781847e14240

132045680493120 has 112 divisors (see below), whose sum is σ = 421668417804480. Its totient is φ = 35008642799616.

The previous prime is 132045680493119. The next prime is 132045680493253. The reversal of 132045680493120 is 21394086540231.

It is a super-2 number, since 2×1320456804931202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132045680493120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397370290 + ... + 397702449.

It is an arithmetic number, because the mean of its divisors is an integer number (3764896587540).

Almost surely, 2132045680493120 is an apocalyptic number.

132045680493120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132045680493120 is an abundant number, since it is smaller than the sum of its proper divisors (289622737311360).

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

132045680493120 is a wasteful number, since it uses less digits than its factorization.

132045680493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795072932 (or 795072922 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 132045680493120 in words is "one hundred thirty-two trillion, forty-five billion, six hundred eighty million, four hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 173 192 240 320 346 480 519 692 865 960 1038 1384 1730 2076 2595 2768 3460 4152 5190 5536 6920 8304 10380 11072 13840 16608 20760 27680 33216 41520 55360 83040 166080 795072739 1590145478 2385218217 3180290956 3975363695 4770436434 6360581912 7950727390 9540872868 11926091085 12721163824 15901454780 19081745736 23852182170 25442327648 31802909560 38163491472 47704364340 50884655296 63605819120 76326982944 95408728680 127211638240 137547583847 152653965888 190817457360 254423276480 275095167694 381634914720 412642751541 550190335388 687737919235 763269829440 825285503082 1100380670776 1375475838470 1650571006164 2063213757705 2200761341552 2750951676940 3301142012328 4126427515410 4401522683104 5501903353880 6602284024656 8252855030820 8803045366208 11003806707760 13204568049312 16505710061640 22007613415520 26409136098624 33011420123280 44015226831040 66022840246560 132045680493120