Search a number
-
+
57118365216 = 2533116009929
BaseRepresentation
bin110101001100100001…
…010001011000100000
312110102200021120222000
4311030201101120200
51413434300141331
642123444444000
74061306044053
oct651441213040
9173380246860
1057118365216
1122250912210
12b0a09a9600
135503749753
142a9bc9ca9a
1517447900e6
hexd4c851620

57118365216 has 96 divisors (see below), whose sum is σ = 181740283200. Its totient is φ = 17308592640.

The previous prime is 57118365211. The next prime is 57118365233. The reversal of 57118365216 is 61256381175.

57118365216 is a `hidden beast` number, since 5 + 7 + 118 + 3 + 6 + 521 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57118365211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2995461 + ... + 3014468.

It is an arithmetic number, because the mean of its divisors is an integer number (1893127950).

Almost surely, 257118365216 is an apocalyptic number.

It is an amenable number.

57118365216 is an abundant number, since it is smaller than the sum of its proper divisors (124621917984).

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

57118365216 is a wasteful number, since it uses less digits than its factorization.

57118365216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009959 (or 6009945 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 57118365216 in words is "fifty-seven billion, one hundred eighteen million, three hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 6009929 12019858 18029787 24039716 36059574 48079432 54089361 66109219 72119148 96158864 108178722 132218438 144238296 162268083 192317728 198327657 216357444 264436876 288476592 324536166 396655314 432714888 528873752 576953184 594982971 649072332 793310628 865429776 1057747504 1189965942 1298144664 1586621256 1730859552 1784948913 2115495008 2379931884 2596289328 3173242512 3569897826 4759863768 5192578656 6346485024 7139795652 9519727536 14279591304 19039455072 28559182608 57118365216