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13437101408072 = 23611031609166147
BaseRepresentation
bin1100001110001001000110…
…1001111111111101001000
31202120120111200220201011012
43003202101221333331020
53230123140430024242
644324530312423052
72554540620306026
oct303422151777510
952516450821135
1013437101408072
114310708493111
12161024a0a7a88
137661619ac154
14346505829716
151847e3355282
hexc3891a7ff48

13437101408072 has 64 divisors (see below), whose sum is σ = 25872433641600. Its totient is φ = 6540144560640.

The previous prime is 13437101408041. The next prime is 13437101408131. The reversal of 13437101408072 is 27080410173431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80791703 + ... + 80957849.

It is an arithmetic number, because the mean of its divisors is an integer number (404256775650).

Almost surely, 213437101408072 is an apocalyptic number.

It is an amenable number.

13437101408072 is a deficient number, since it is larger than the sum of its proper divisors (12435332233528).

13437101408072 is a wasteful number, since it uses less digits than its factorization.

13437101408072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167926 (or 167922 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 13437101408072 in words is "thirteen trillion, four hundred thirty-seven billion, one hundred one million, four hundred eight thousand, seventy-two".

Divisors: 1 2 4 8 61 103 122 206 244 412 488 824 1609 3218 6283 6436 12566 12872 25132 50264 98149 165727 166147 196298 331454 332294 392596 662908 664588 785192 1325816 1329176 10109347 10134967 17113141 20218694 20269934 34226282 40437388 40539868 68452564 80874776 81079736 136905128 267330523 534661046 1043901601 1069322092 2087803202 2138644184 4175606404 8351212808 16307161903 27535043869 32614323806 55070087738 65228647612 110140175476 130457295224 220280350952 1679637676009 3359275352018 6718550704036 13437101408072