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57685366002 = 23112375094219
BaseRepresentation
bin110101101110010100…
…001101010011110010
312111220012012012211010
4311232110031103302
51421114423203002
642300021331350
74111332343425
oct655624152362
9174805165733
1057685366002
1122511981300
12b21a866b56
135594060184
142b132d59bc
15177944046c
hexd6e50d4f2

57685366002 has 96 divisors (see below), whose sum is σ = 130526625600. Its totient is φ = 16970532480.

The previous prime is 57685365973. The next prime is 57685366007. The reversal of 57685366002 is 20066358675.

It is not an unprimeable number, because it can be changed into a prime (57685366007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13670649 + ... + 13674867.

It is an arithmetic number, because the mean of its divisors is an integer number (1359652350).

Almost surely, 257685366002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57685366002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65263312800).

57685366002 is an abundant number, since it is smaller than the sum of its proper divisors (72841259598).

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

57685366002 is a wasteful number, since it uses less digits than its factorization.

57685366002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 57685366002 in words is "fifty-seven billion, six hundred eighty-five million, three hundred sixty-six thousand, two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 509 726 814 1018 1221 1527 2442 3054 4219 4477 5599 8438 8954 11198 12657 13431 16797 18833 25314 26862 33594 37666 46409 56499 61589 92818 112998 123178 139227 156103 184767 207163 278454 312206 369534 414326 468309 510499 621489 936618 1020998 1242978 1531497 1717133 2147471 2278793 3062994 3434266 4294942 4557586 5151399 6442413 6836379 10302798 12884826 13672758 18888463 23622181 37776926 47244362 56665389 70866543 79456427 113330778 141733086 158912854 238369281 259843991 476738562 519687982 779531973 874020697 1559063946 1748041394 2622062091 5244124182 9614227667 19228455334 28842683001 57685366002