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57996727416 = 2332832116927
BaseRepresentation
bin110110000000110111…
…111101010001111000
312112200220002000101100
4312000313331101320
51422234130234131
642350543051400
74122133022565
oct660067752170
9175626060340
1057996727416
1122661705791
12b2a6ba0b60
1356137083b4
142b427c586c
1517969457e6
hexd80dfd478

57996727416 has 72 divisors (see below), whose sum is σ = 158991094080. Its totient is φ = 19099160544.

The previous prime is 57996727391. The next prime is 57996727423. The reversal of 57996727416 is 61472769975.

57996727416 is a `hidden beast` number, since 57 + 99 + 67 + 27 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 437545 + ... + 554471.

It is an arithmetic number, because the mean of its divisors is an integer number (2208209640).

Almost surely, 257996727416 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 57996727416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79495547040).

57996727416 is an abundant number, since it is smaller than the sum of its proper divisors (100994366664).

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

57996727416 is a wasteful number, since it uses less digits than its factorization.

57996727416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117105 (or 117015 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 57996727416 in words is "fifty-seven billion, nine hundred ninety-six million, seven hundred twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 6889 13778 20667 27556 41334 55112 62001 82668 116927 124002 165336 233854 248004 350781 467708 496008 701562 935416 1052343 1403124 2104686 2806248 4209372 8418744 9704941 19409882 29114823 38819764 58229646 77639528 87344469 116459292 174688938 232918584 349377876 698755752 805510103 1611020206 2416530309 3222040412 4833060618 6444080824 7249590927 9666121236 14499181854 19332242472 28998363708 57996727416