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10185713868 = 22311377512777
BaseRepresentation
bin10010111110001110…
…11010100011001100
3222021212012212122210
421133013122203030
5131330020320433
64402415110420
7510261065541
oct113707324314
928255185583
1010185713868
11435762a650
121b83212410
13c64312035
146c8aa6bc8
153e9344463
hex25f1da8cc

10185713868 has 96 divisors (see below), whose sum is σ = 26673067008. Its totient is φ = 2998080000.

The previous prime is 10185713861. The next prime is 10185713903. The reversal of 10185713868 is 86831758101.

It is not an unprimeable number, because it can be changed into a prime (10185713861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3666496 + ... + 3669272.

It is an arithmetic number, because the mean of its divisors is an integer number (277844448).

Almost surely, 210185713868 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 10185713868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13336533504).

10185713868 is an abundant number, since it is smaller than the sum of its proper divisors (16487353140).

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

10185713868 is a wasteful number, since it uses less digits than its factorization.

10185713868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 10185713868 in words is "ten billion, one hundred eighty-five million, seven hundred thirteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 751 814 1221 1502 1628 2253 2442 2777 3004 4506 4884 5554 8261 8331 9012 11108 16522 16662 24783 27787 30547 33044 33324 49566 55574 61094 83361 91641 99132 102749 111148 122188 166722 183282 205498 305657 308247 333444 366564 410996 611314 616494 916971 1130239 1222628 1232988 1833942 2085527 2260478 3390717 3667884 4171054 4520956 6256581 6781434 8342108 12513162 13562868 22940797 25026324 45881594 68822391 77164499 91763188 137644782 154328998 231493497 275289564 308657996 462986994 848809489 925973988 1697618978 2546428467 3395237956 5092856934 10185713868