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57407416715 = 51119271193211
BaseRepresentation
bin110101011101101111…
…111010100110001011
312111011211011221002002
4311131233322212023
51420032244313330
642212252101215
74101415663565
oct653557724613
9174154157062
1057407416715
1122389a98950
12b16176480b
13554b5b303c
142ac8422335
15175ed39e45
hexd5dbfa98b

57407416715 has 96 divisors (see below), whose sum is σ = 81232077312. Its totient is φ = 38610432000.

The previous prime is 57407416673. The next prime is 57407416721. The reversal of 57407416715 is 51761470475.

It is not a de Polignac number, because 57407416715 - 28 = 57407416459 is a prime.

It is a super-2 number, since 2×574074167152 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57407416715.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272072960 + ... + 272073170.

It is an arithmetic number, because the mean of its divisors is an integer number (846167472).

Almost surely, 257407416715 is an apocalyptic number.

57407416715 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57407416715 is a deficient number, since it is larger than the sum of its proper divisors (23824660597).

57407416715 is a wasteful number, since it uses less digits than its factorization.

57407416715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 47.

The spelling of 57407416715 in words is "fifty-seven billion, four hundred seven million, four hundred sixteen thousand, seven hundred fifteen".

Divisors: 1 5 11 19 55 71 95 193 209 211 355 361 781 965 1045 1055 1349 1805 2123 2321 3667 3905 3971 4009 6745 10615 11605 13703 14839 14981 18335 19855 20045 25631 40337 40723 44099 68515 69673 74195 74905 76171 128155 150733 164791 201685 203615 220495 260357 281941 284639 348365 380855 447953 753665 766403 773737 823955 837881 1301785 1409705 1423195 2239765 2863927 2891333 3131029 3832015 3868685 4189405 4946783 5408141 8511107 14319635 14456665 14701003 15655145 24733915 27040705 31804663 42555535 54414613 54935327 59489551 73505015 159023315 161711033 272073065 274676635 297447755 604288597 808555165 1043771213 3021442985 5218856065 11481483343 57407416715