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57885655168 = 2711234143597
BaseRepresentation
bin110101111010010000…
…010000000010000000
312112102011001221220101
4311322100100002000
51422022211431133
642331534252144
74116313644025
oct657220200200
9175364057811
1057885655168
1122604a41540
12b275957054
1355c66b8c83
142b31b5154c
15178bd0537d
hexd7a410080

57885655168 has 128 divisors (see below), whose sum is σ = 134477159040. Its totient is φ = 24553267200.

The previous prime is 57885655153. The next prime is 57885655171. The reversal of 57885655168 is 86155658875.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305946 + ... + 1349542.

It is an arithmetic number, because the mean of its divisors is an integer number (1050602805).

Almost surely, 257885655168 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 57885655168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67238579520).

57885655168 is an abundant number, since it is smaller than the sum of its proper divisors (76591503872).

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

57885655168 is a wasteful number, since it uses less digits than its factorization.

57885655168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43686 (or 43674 counting only the distinct ones).

The product of its digits is 80640000, while the sum is 64.

The spelling of 57885655168 in words is "fifty-seven billion, eight hundred eighty-five million, six hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 41 44 46 64 82 88 92 128 164 176 184 253 328 352 368 451 506 656 704 736 902 943 1012 1312 1408 1472 1804 1886 2024 2624 2944 3608 3772 4048 5248 7216 7544 8096 10373 14432 15088 16192 20746 28864 30176 32384 41492 43597 57728 60352 82984 87194 120704 165968 174388 331936 348776 479567 663872 697552 959134 1002731 1327744 1395104 1787477 1918268 2005462 2790208 3574954 3836536 4010924 5580416 7149908 7673072 8021848 11030041 14299816 15346144 16043696 19662247 22060082 28599632 30692288 32087392 39324494 41111971 44120164 57199264 61384576 64174784 78648988 82223942 88240328 114398528 128349568 157297976 164447884 176480656 228797056 314595952 328895768 352961312 452231681 629191904 657791536 705922624 904463362 1258383808 1315583072 1411845248 1808926724 2516767616 2631166144 3617853448 5262332288 7235706896 14471413792 28942827584 57885655168