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57009348096 = 29343385717
BaseRepresentation
bin110101000110000001…
…011001111000000000
312110011002010221120220
4311012001121320000
51413223343114341
642104552103040
74055513314641
oct650601317000
9173132127526
1057009348096
11221a5322018
12b070394a80
1354b6c9988c
142a8b6016c8
151739e08a66
hexd46059e00

57009348096 has 80 divisors (see below), whose sum is σ = 152228996304. Its totient is φ = 18959007744.

The previous prime is 57009348079. The next prime is 57009348103. The reversal of 57009348096 is 69084390075.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622230 + ... + 707946.

Almost surely, 257009348096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57009348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76114498152).

57009348096 is an abundant number, since it is smaller than the sum of its proper divisors (95219648208).

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

57009348096 is an equidigital number, since it uses as much as digits as its factorization.

57009348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86171 (or 86155 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 57009348096 in words is "fifty-seven billion, nine million, three hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 433 512 768 866 1299 1536 1732 2598 3464 5196 6928 10392 13856 20784 27712 41568 55424 83136 85717 110848 166272 171434 221696 257151 332544 342868 514302 665088 685736 1028604 1371472 2057208 2742944 4114416 5485888 8228832 10971776 16457664 21943552 32915328 37115461 43887104 65830656 74230922 111346383 131661312 148461844 222692766 296923688 445385532 593847376 890771064 1187694752 1781542128 2375389504 3563084256 4750779008 7126168512 9501558016 14252337024 19003116032 28504674048 57009348096