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72890133876 = 2234732138507
BaseRepresentation
bin100001111100010010…
…1110010110101110100
320222010211122110020000
41003320211302311310
52143234333241001
653252452311300
75160166625640
oct1037045626564
9228124573200
1072890133876
1128a0464246a
1212162912530
136b48142741
1437567bdc20
151d69201a86
hex10f8972d74

72890133876 has 60 divisors (see below), whose sum is σ = 217770530208. Its totient is φ = 20825751888.

The previous prime is 72890133853. The next prime is 72890133893. The reversal of 72890133876 is 67833109827.

It is a super-2 number, since 2×728901338762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 16066986 + ... + 16071521.

Almost surely, 272890133876 is an apocalyptic number.

It is an amenable number.

72890133876 is an abundant number, since it is smaller than the sum of its proper divisors (144880396332).

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

72890133876 is a wasteful number, since it uses less digits than its factorization.

72890133876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32138530 (or 32138519 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 72890133876 in words is "seventy-two billion, eight hundred ninety million, one hundred thirty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 32138507 64277014 96415521 128554028 192831042 224969549 289246563 385662084 449939098 578493126 674908647 867739689 899878196 1156986252 1349817294 1735479378 2024725941 2603219067 2699634588 3470958756 4049451882 5206438134 6074177823 8098903764 10412876268 12148355646 18222533469 24296711292 36445066938 72890133876