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57354123154640 = 24513209212636021
BaseRepresentation
bin11010000101001110011000…
…01000110001010011010000
321112002000000110022101202012
431002213030020301103100
530004142221011422030
6321552042003042052
715036461432013524
oct1502471410612320
9245060013271665
1057354123154640
11173028243358a4
126523743970328
132600616bcb3a0
141023d50b23d84
15696da4363095
hex3429cc2314d0

57354123154640 has 80 divisors (see below), whose sum is σ = 143612819347536. Its totient is φ = 21175886745600.

The previous prime is 57354123154639. The next prime is 57354123154661. The reversal of 57354123154640 is 4645132145375.

It can be written as a sum of positive squares in 8 ways, for example, as 5142862412944 + 52211260741696 = 2267788^2 + 7225736^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×573541231546402 (a number of 28 digits) contains 22 as substring.

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, 20439830 + ... + 23075850.

Almost surely, 257354123154640 is an apocalyptic number.

It is an amenable number.

57354123154640 is an abundant number, since it is smaller than the sum of its proper divisors (86258696192896).

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

57354123154640 is a wasteful number, since it uses less digits than its factorization.

57354123154640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656968 (or 2656962 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 50.

The spelling of 57354123154640 in words is "fifty-seven trillion, three hundred fifty-four billion, one hundred twenty-three million, one hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 20921 41842 83684 104605 167368 209210 271973 334736 418420 543946 836840 1087892 1359865 1673680 2175784 2636021 2719730 4351568 5272042 5439460 10544084 10878920 13180105 21088168 21757840 26360210 34268273 42176336 52720420 68536546 105440840 137073092 171341365 210881680 274146184 342682730 548292368 685365460 1370730920 2741461840 55148195341 110296390682 220592781364 275740976705 441185562728 551481953410 716926539433 882371125456 1102963906820 1433853078866 2205927813640 2867706157732 3584632697165 4411855627280 5735412315464 7169265394330 11470824630928 14338530788660 28677061577320 57354123154640