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71224081924968 = 2333747105874289
BaseRepresentation
bin10000001100011100100110…
…000110100100001101101000
3100100011221210201201102102000
4100030130212012210031220
533313413404433044333
6411251520323211000
721000525101230620
oct2014344606441550
9310157721642360
1071224081924968
112076aa66490945
127ba3854b16a60
13309852c57334b
14138339a433880
15837a7d9a6713
hex40c7261a4368

71224081924968 has 64 divisors (see below), whose sum is σ = 226108196592000. Its totient is φ = 20349737692416.

The previous prime is 71224081924951. The next prime is 71224081924973. The reversal of 71224081924968 is 86942918042217.

71224081924968 is a `hidden beast` number, since 7 + 1 + 22 + 40 + 81 + 9 + 2 + 496 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 23552935633 + ... + 23552938656.

It is an arithmetic number, because the mean of its divisors is an integer number (3532940571750).

Almost surely, 271224081924968 is an apocalyptic number.

It is an amenable number.

71224081924968 is an abundant number, since it is smaller than the sum of its proper divisors (154884114667032).

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

71224081924968 is a wasteful number, since it uses less digits than its factorization.

71224081924968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47105874311 (or 47105874301 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 71224081924968 in words is "seventy-one trillion, two hundred twenty-four billion, eighty-one million, nine hundred twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 47105874289 94211748578 141317622867 188423497156 282635245734 329741120023 376846994312 423952868601 565270491468 659482240046 847905737202 989223360069 1130540982936 1271858605803 1318964480092 1695811474404 1978446720138 2543717211606 2637928960184 2967670080207 3391622948808 3956893440276 5087434423212 5935340160414 7913786880552 8903010240621 10174868846424 11870680320828 17806020481242 23741360641656 35612040962484 71224081924968