Search a number
-
+
57318016608 = 2533371792981
BaseRepresentation
bin110101011000011010…
…111000011001100000
312110221120221221012000
4311120122320121200
51414341403012413
642155340004000
74066252050066
oct653032703140
9173846857160
1057318016608
1122343587266
12b137830600
135535c11178
142aba5d0036
15175707b073
hexd586b8660

57318016608 has 96 divisors (see below), whose sum is σ = 171695956320. Its totient is φ = 18589616640.

The previous prime is 57318016589. The next prime is 57318016619. The reversal of 57318016608 is 80661081375.

57318016608 is a `hidden beast` number, since 5 + 7 + 31 + 8 + 0 + 1 + 6 + 608 = 666.

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

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, 864523 + ... + 928458.

It is an arithmetic number, because the mean of its divisors is an integer number (1788499545).

Almost surely, 257318016608 is an apocalyptic number.

It is an amenable number.

57318016608 is an abundant number, since it is smaller than the sum of its proper divisors (114377939712).

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

57318016608 is a wasteful number, since it uses less digits than its factorization.

57318016608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793037 (or 1793023 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 57318016608 in words is "fifty-seven billion, three hundred eighteen million, sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 15984 31968 1792981 3585962 5378943 7171924 10757886 14343848 16136829 21515772 28687696 32273658 43031544 48410487 57375392 64547316 66340297 86063088 96820974 129094632 132680594 172126176 193641948 199020891 258189264 265361188 387283896 398041782 516378528 530722376 597062673 774567792 796083564 1061444752 1194125346 1549135584 1592167128 1791188019 2122889504 2388250692 3184334256 3582376038 4776501384 6368668512 7164752076 9553002768 14329504152 19106005536 28659008304 57318016608