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57785483040 = 2535313883433
BaseRepresentation
bin110101110100010010…
…000111111100100000
312112011011120200120120
4311310102013330200
51421321040424130
642313555240240
74113656334015
oct656422077440
9175134520516
1057785483040
112256344275a
12b2482a9080
1355aba1501c
142b2271770c
151783119910
hexd74487f20

57785483040 has 96 divisors (see below), whose sum is σ = 187896070656. Its totient is φ = 14912378880.

The previous prime is 57785483033. The next prime is 57785483051. The reversal of 57785483040 is 4038458775.

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

It is a super-2 number, since 2×577854830402 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1926837 + ... + 1956596.

It is an arithmetic number, because the mean of its divisors is an integer number (1957250736).

Almost surely, 257785483040 is an apocalyptic number.

It is an amenable number.

57785483040 is an abundant number, since it is smaller than the sum of its proper divisors (130110587616).

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

57785483040 is a wasteful number, since it uses less digits than its factorization.

57785483040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883482 (or 3883474 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 57785483040 in words is "fifty-seven billion, seven hundred eighty-five million, four hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 3883433 7766866 11650299 15533732 19417165 23300598 31067464 38834330 46601196 58251495 62134928 77668660 93202392 116502990 120386423 124269856 155337320 186404784 233005980 240772846 310674640 361159269 372809568 466011960 481545692 601932115 621349280 722318538 932023920 963091384 1203864230 1444637076 1805796345 1864047840 1926182768 2407728460 2889274152 3611592690 3852365536 4815456920 5778548304 7223185380 9630913840 11557096608 14446370760 19261827680 28892741520 57785483040