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75347813216 = 25131796071667
BaseRepresentation
bin100011000101100010…
…1000110001101100000
321012111010012111110202
41012023011012031200
52213303020010331
654340405044332
75305121562554
oct1061305061540
9235433174422
1075347813216
1129a55970315
12127299b66a8
13714a374c80
14390ad75864
151e5ed6cecb
hex118b146360

75347813216 has 96 divisors (see below), whose sum is σ = 161005501440. Its totient is φ = 34503952896.

The previous prime is 75347813197. The next prime is 75347813269. The reversal of 75347813216 is 61231874357.

It is a happy number.

It is a congruent number.

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, 45198815 + ... + 45200481.

It is an arithmetic number, because the mean of its divisors is an integer number (1677140640).

Almost surely, 275347813216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75347813216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80502750720).

75347813216 is an abundant number, since it is smaller than the sum of its proper divisors (85657688224).

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

75347813216 is a wasteful number, since it uses less digits than its factorization.

75347813216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2468 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The spelling of 75347813216 in words is "seventy-five billion, three hundred forty-seven million, eight hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 179 208 358 416 607 716 1214 1432 1667 2327 2428 2864 3334 4654 4856 5728 6668 7891 9308 9712 13336 15782 18616 19424 21671 26672 31564 37232 43342 53344 63128 74464 86684 108653 126256 173368 217306 252512 298393 346736 434612 596786 693472 869224 1011869 1193572 1412489 1738448 2023738 2387144 2824978 3476896 3879109 4047476 4774288 5649956 7758218 8094952 9548576 11299912 13154297 15516436 16189904 22599824 26308594 31032872 32379808 45199648 52617188 62065744 105234376 124131488 181124551 210468752 362249102 420937504 724498204 1448996408 2354619163 2897992816 4709238326 5795985632 9418476652 18836953304 37673906608 75347813216