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72857353056 = 2534737014363
BaseRepresentation
bin100001111011010100…
…0101111101101100000
320222001112222000101120
41003312220233231200
52143202440244211
653245321532240
75156321166015
oct1036650575540
9228045860346
1072857353056
1128998092784
1212153944080
136b41405ac7
1437522c970c
151d663c8d06
hex10f6a2fb60

72857353056 has 96 divisors (see below), whose sum is σ = 195417266688. Its totient is φ = 23757196800.

The previous prime is 72857353043. The next prime is 72857353061. The reversal of 72857353056 is 65035375827.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 16696731 + ... + 16701093.

It is an arithmetic number, because the mean of its divisors is an integer number (2035596528).

Almost surely, 272857353056 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 72857353056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97708633344).

72857353056 is an abundant number, since it is smaller than the sum of its proper divisors (122559913632).

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

72857353056 is a wasteful number, since it uses less digits than its factorization.

72857353056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 51.

The spelling of 72857353056 in words is "seventy-two billion, eight hundred fifty-seven million, three hundred fifty-three thousand, fifty-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 3701 4363 4512 7402 8726 11103 13089 14804 17452 22206 26178 29608 34904 44412 52356 59216 69808 88824 104712 118432 139616 173947 177648 205061 209424 347894 355296 410122 418848 521841 615183 695788 820244 1043682 1230366 1391576 1640488 2087364 2460732 2783152 3280976 4174728 4921464 5566304 6561952 8349456 9842928 16147463 16698912 19685856 32294926 48442389 64589852 96884778 129179704 193769556 258359408 387539112 516718816 758930761 775078224 1517861522 1550156448 2276792283 3035723044 4553584566 6071446088 9107169132 12142892176 18214338264 24285784352 36428676528 72857353056