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57047339934 = 23313615212557
BaseRepresentation
bin110101001000010010…
…010101001110011110
312110020201122010121000
4311020102111032132
51413313104334214
642112430251130
74056454250214
oct651022251636
9173221563530
1057047339934
1122214810932
12b081056aa6
1354c1b0c360
142a92690cb4
15173d410809
hexd4849539e

57047339934 has 128 divisors (see below), whose sum is σ = 139082348160. Its totient is φ = 17225395200.

The previous prime is 57047339911. The next prime is 57047339941. The reversal of 57047339934 is 43993374075.

57047339934 is a `hidden beast` number, since 57 + 0 + 473 + 3 + 99 + 34 = 666.

It is a super-2 number, since 2×570473399342 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 22308984 + ... + 22311540.

It is an arithmetic number, because the mean of its divisors is an integer number (1086580845).

Almost surely, 257047339934 is an apocalyptic number.

57047339934 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57047339934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69541174080).

57047339934 is an abundant number, since it is smaller than the sum of its proper divisors (82035008226).

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

57047339934 is a wasteful number, since it uses less digits than its factorization.

57047339934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 57047339934 in words is "fifty-seven billion, forty-seven million, three hundred thirty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 351 366 521 549 702 793 1042 1098 1563 1586 1647 2379 2557 3126 3294 4689 4758 5114 6773 7137 7671 9378 13546 14067 14274 15342 20319 21411 23013 28134 31781 33241 40638 42822 46026 60957 63562 66482 69039 95343 99723 121914 138078 155977 182871 190686 199446 286029 299169 311954 365742 413153 467931 572058 598338 826306 858087 897507 935862 1239459 1332197 1403793 1716174 1795014 2027701 2478918 2664394 2807586 3718377 3996591 4055402 4211379 6083103 7436754 7993182 8422758 11155131 11989773 12166206 17318561 18249309 22310262 23979546 34637122 35969319 36498618 51955683 54747927 71938638 81264017 103911366 109495854 155867049 162528034 243792051 311734098 467601147 487584102 731376153 935202294 1056432221 1462752306 2112864442 2194128459 3169296663 4388256918 6338593326 9507889989 19015779978 28523669967 57047339934