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57052347576 = 23372187925819
BaseRepresentation
bin110101001000100101…
…011011110010111000
312110021002001112210020
4311020211123302320
51413320400110301
642113125450440
74056544644600
oct651045336270
9173232045706
1057052347576
1122217621184
12b082870a20
1354c2b73763
142a931d5c00
15173da9e436
hexd4895bcb8

57052347576 has 96 divisors (see below), whose sum is σ = 166012272000. Its totient is φ = 16291364544.

The previous prime is 57052347571. The next prime is 57052347589. The reversal of 57052347576 is 67574325075.

57052347576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57052347571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2196795 + ... + 2222613.

It is an arithmetic number, because the mean of its divisors is an integer number (1729294500).

Almost surely, 257052347576 is an apocalyptic number.

57052347576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57052347576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83006136000).

57052347576 is an abundant number, since it is smaller than the sum of its proper divisors (108959924424).

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

57052347576 is a wasteful number, since it uses less digits than its factorization.

57052347576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27721 (or 27710 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 51.

The spelling of 57052347576 in words is "fifty-seven billion, fifty-two million, three hundred forty-seven thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1879 3758 5637 7516 11274 13153 15032 22548 25819 26306 39459 45096 51638 52612 77457 78918 92071 103276 105224 154914 157836 180733 184142 206552 276213 309828 315672 361466 368284 542199 552426 619656 722932 736568 1084398 1104852 1265131 1445864 2168796 2209704 2530262 3795393 4337592 5060524 7590786 10121048 15181572 30363144 48513901 97027802 145541703 194055604 291083406 339597307 388111208 582166812 679194614 1018791921 1164333624 1358389228 2037583842 2377181149 2716778456 4075167684 4754362298 7131543447 8150335368 9508724596 14263086894 19017449192 28526173788 57052347576