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71446303713696 = 25347129791220027
BaseRepresentation
bin10000001111101011100011…
…100011011010100110100000
3100100222012101202012221022120
4100033223203203122212200
533331034012222314241
6411541551231304240
721022553003246652
oct2017534343324640
9310865352187276
1071446303713696
112084623093289a
12801a93267b080
1330b348565a122
14139003b90a6d2
1583d737c69666
hex40fae38da9a0

71446303713696 has 96 divisors (see below), whose sum is σ = 191551813770240. Its totient is φ = 23306908214016.

The previous prime is 71446303713689. The next prime is 71446303713731. The reversal of 71446303713696 is 69631730364417.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×714463037136962 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57951235 + ... + 59171261.

It is an arithmetic number, because the mean of its divisors is an integer number (1995331393440).

Almost surely, 271446303713696 is an apocalyptic number.

It is an amenable number.

71446303713696 is an abundant number, since it is smaller than the sum of its proper divisors (120105510056544).

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

71446303713696 is a wasteful number, since it uses less digits than its factorization.

71446303713696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233066 (or 1233058 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 60.

The spelling of 71446303713696 in words is "seventy-one trillion, four hundred forty-six billion, three hundred three million, seven hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 12979 25958 38937 51916 77874 103832 155748 207664 311496 415328 610013 622992 1220026 1220027 1245984 1830039 2440052 2440054 3660078 3660081 4880104 4880108 7320156 7320162 9760208 9760216 14640312 14640324 19520416 19520432 29280624 29280648 39040864 57341269 58561248 58561296 114682538 117122592 172023807 229365076 344047614 458730152 688095228 917460304 1376190456 1834920608 2752380912 5504761824 15834730433 31669460866 47504191299 63338921732 95008382598 126677843464 190016765196 253355686928 380033530392 506711373856 744232330351 760067060784 1488464660702 1520134121568 2232696991053 2976929321404 4465393982106 5953858642808 8930787964212 11907717285616 17861575928424 23815434571232 35723151856848 71446303713696