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57074455727360 = 285193332306389
BaseRepresentation
bin11001111101000101011101…
…01010001100110100000000
321111002021010221201002020222
430332202232222030310000
524440101441131233420
6321215350515322212
715010331135056631
oct1476425652146400
9244067127632228
1057074455727360
111720516036a405
1264994b38b0368
1325b013763b1c6
1410145c0119888
1568e986c15225
hex33e8aea8cd00

57074455727360 has 72 divisors (see below), whose sum is σ = 136718287901160. Its totient is φ = 22828591521792.

The previous prime is 57074455727357. The next prime is 57074455727381. The reversal of 57074455727360 is 6372755447075.

It can be written as a sum of positive squares in 4 ways, for example, as 23739814011904 + 33334641715456 = 4872352^2 + 5773616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57074455727293 and 57074455727302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23593046 + ... + 25899434.

Almost surely, 257074455727360 is an apocalyptic number.

It is an amenable number.

57074455727360 is an abundant number, since it is smaller than the sum of its proper divisors (79643832173800).

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

57074455727360 is a wasteful number, since it uses less digits than its factorization.

57074455727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325743 (or 2325729 counting only the distinct ones).

The product of its (nonzero) digits is 172872000, while the sum is 62.

The spelling of 57074455727360 in words is "fifty-seven trillion, seventy-four billion, four hundred fifty-five million, seven hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 19333 38666 77332 96665 154664 193330 309328 386660 618656 773320 1237312 1546640 2306389 2474624 3093280 4612778 4949248 6186560 9225556 11531945 12373120 18451112 23063890 24746240 36902224 46127780 73804448 92255560 147608896 184511120 295217792 369022240 590435584 738044480 1476088960 2952177920 44589418537 89178837074 178357674148 222947092685 356715348296 445894185370 713430696592 891788370740 1426861393184 1783576741480 2853722786368 3567153482960 5707445572736 7134306965920 11414891145472 14268613931840 28537227863680 57074455727360