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57857139552 = 2531932579739
BaseRepresentation
bin110101111000100011…
…011110001101100000
312112100011102012211110
4311320203132031200
51421442411431202
642325035143320
74115516400102
oct657043361540
9175304365743
1057857139552
112259a935313
12b2682a4b40
1355c0813824
142b2c04b572
15178957126c
hexd788de360

57857139552 has 96 divisors (see below), whose sum is σ = 159933916800. Its totient is φ = 18263190528.

The previous prime is 57857139547. The next prime is 57857139577. The reversal of 57857139552 is 25593175875.

57857139552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 57857139492 and 57857139501.

It is a congruent number.

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, 5935899 + ... + 5945637.

It is an arithmetic number, because the mean of its divisors is an integer number (1665978300).

Almost surely, 257857139552 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 57857139552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79966958400).

57857139552 is an abundant number, since it is smaller than the sum of its proper divisors (102076777248).

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

57857139552 is a wasteful number, since it uses less digits than its factorization.

57857139552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13028 (or 13020 counting only the distinct ones).

The product of its digits is 13230000, while the sum is 57.

The spelling of 57857139552 in words is "fifty-seven billion, eight hundred fifty-seven million, one hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3257 6514 9739 9771 13028 19478 19542 26056 29217 38956 39084 52112 58434 61883 77912 78168 104224 116868 123766 155824 156336 185041 185649 233736 247532 311648 312672 370082 371298 467472 495064 555123 740164 742596 934944 990128 1110246 1480328 1485192 1980256 2220492 2960656 2970384 4440984 5921312 5940768 8881968 17763936 31719923 63439846 95159769 126879692 190319538 253759384 380639076 507518768 602678537 761278152 1015037536 1205357074 1522556304 1808035611 2410714148 3045112608 3616071222 4821428296 7232142444 9642856592 14464284888 19285713184 28928569776 57857139552