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57084072048 = 24322317235529
BaseRepresentation
bin110101001010011110…
…011101000001110000
312110100021202022120200
4311022132131001300
51413402010301143
642120221435200
74060411415013
oct651236350160
9173307668520
1057084072048
112223351a253
12b09140bb00
1354c9600633
142a974d337a
1517417691d3
hexd4a79d070

57084072048 has 60 divisors (see below), whose sum is σ = 166702046160. Its totient is φ = 18200717568.

The previous prime is 57084072007. The next prime is 57084072061. The reversal of 57084072048 is 84027048075.

57084072048 is a `hidden beast` number, since 570 + 8 + 4 + 0 + 72 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57084071994 and 57084072012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8614453 + ... + 8621076.

It is an arithmetic number, because the mean of its divisors is an integer number (2778367436).

Almost surely, 257084072048 is an apocalyptic number.

It is an amenable number.

57084072048 is an abundant number, since it is smaller than the sum of its proper divisors (109617974112).

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

57084072048 is a wasteful number, since it uses less digits than its factorization.

57084072048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17235566 (or 17235557 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 57084072048 in words is "fifty-seven billion, eighty-four million, seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 17235529 34471058 51706587 68942116 103413174 137884232 155119761 206826348 275768464 310239522 396417167 413652696 620479044 792834334 827305392 1189251501 1240958088 1585668668 2378503002 2481916176 3171337336 3567754503 4757006004 6342674672 7135509006 9514012008 14271018012 19028024016 28542036024 57084072048