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57446506560144 = 24313295731133483
BaseRepresentation
bin11010000111111010011101…
…00111011111101010010000
321112101211110210222122120110
431003331032213133222100
530012200421134411034
6322102321044041320
715046241662010262
oct1503751647375220
9245354423878513
1057446506560144
1117338a213647a9
126539626993240
13260924a748c80
1410285d63a1b32
156994aea88de9
hex343f4e9dfa90

57446506560144 has 80 divisors (see below), whose sum is σ = 159873180086592. Its totient is φ = 17669869976064.

The previous prime is 57446506560139. The next prime is 57446506560151. The reversal of 57446506560144 is 44106560564475.

It is a super-2 number, since 2×574465065601442 (a number of 28 digits) contains 22 as substring.

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, 13721574 + ... + 17411909.

Almost surely, 257446506560144 is an apocalyptic number.

It is an amenable number.

57446506560144 is an abundant number, since it is smaller than the sum of its proper divisors (102426673526448).

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

57446506560144 is a wasteful number, since it uses less digits than its factorization.

57446506560144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31136464 (or 31136458 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 57.

The spelling of 57446506560144 in words is "fifty-seven trillion, four hundred forty-six billion, five hundred six million, five hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 2957 5914 8871 11828 17742 23656 35484 38441 47312 70968 76882 115323 141936 153764 230646 307528 461292 615056 922584 1845168 31133483 62266966 93400449 124533932 186800898 249067864 373601796 404735279 498135728 747203592 809470558 1214205837 1494407184 1618941116 2428411674 3237882232 4856823348 6475764464 9713646696 19427293392 92061709231 184123418462 276185127693 368246836924 552370255386 736493673848 1104740510772 1196802220003 1472987347696 2209481021544 2393604440006 3590406660009 4418962043088 4787208880012 7180813320018 9574417760024 14361626640036 19148835520048 28723253280072 57446506560144