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72403988192 = 2529774110079
BaseRepresentation
bin100001101101110011…
…1010010111011100000
320220212221212200201022
41003123213102323200
52141240410110232
653132324425012
75142144513404
oct1033347227340
9226787780638
1072403988192
1128785188a78
1212047b48168
136a9b4cb683
14370bdd3104
151d3b6c3812
hex10db9d2ee0

72403988192 has 48 divisors (see below), whose sum is σ = 147494390400. Its totient is φ = 34945666560.

The previous prime is 72403988147. The next prime is 72403988207. The reversal of 72403988192 is 29188930427.

It is a super-2 number, since 2×724039881922 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 7178609 + ... + 7188687.

It is an arithmetic number, because the mean of its divisors is an integer number (3072799800).

Almost surely, 272403988192 is an apocalyptic number.

It is an amenable number.

72403988192 is an abundant number, since it is smaller than the sum of its proper divisors (75090402208).

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

72403988192 is a wasteful number, since it uses less digits than its factorization.

72403988192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17859 (or 17851 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 72403988192 in words is "seventy-two billion, four hundred three million, nine hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 7741 10079 15482 20158 30964 40316 61928 80632 123856 161264 224489 247712 292291 322528 448978 584582 897956 1169164 1795912 2338328 3591824 4676656 7183648 9353312 78021539 156043078 312086156 624172312 1248344624 2262624631 2496689248 4525249262 9050498524 18100997048 36201994096 72403988192