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131533829680 = 24511236498707
BaseRepresentation
bin111101010000000000…
…1101111011000110000
3110120111211002212101111
41322200001233120300
54123340130022210
6140231550243104
712334350051001
oct1724001573060
9416454085344
10131533829680
1150868466070
12215aa4b6494
13c5328acc66
14651b0971a8
15364c84188a
hex1ea006f630

131533829680 has 80 divisors (see below), whose sum is σ = 348122790144. Its totient is φ = 45750890240.

The previous prime is 131533829633. The next prime is 131533829689. The reversal of 131533829680 is 86928335131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1315338296802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131533829689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3229114 + ... + 3269593.

Almost surely, 2131533829680 is an apocalyptic number.

131533829680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131533829680 is an abundant number, since it is smaller than the sum of its proper divisors (216588960464).

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

131533829680 is a wasteful number, since it uses less digits than its factorization.

131533829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6498754 (or 6498748 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 131533829680 in words is "one hundred thirty-one billion, five hundred thirty-three million, eight hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 6498707 12997414 25994828 32493535 51989656 64987070 71485777 103979312 129974140 142971554 149470261 259948280 285943108 298940522 357428885 519896560 571886216 597881044 714857770 747351305 1143772432 1195762088 1429715540 1494702610 1644172871 2391524176 2859431080 2989405220 3288345742 5718862160 5978810440 6576691484 8220864355 11957620880 13153382968 16441728710 26306765936 32883457420 65766914840 131533829680