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252600205116 = 2237233110311701
BaseRepresentation
bin1110101101000000100…
…1010011111100111100
3220011000010211221222110
43223100021103330330
513114311123030431
6312013135014020
724151445213460
oct3532011237474
9804003757873
10252600205116
11981442598a6
1240b5736a310
131aa879a42bc
14c323ca84a0
15688623a346
hex3ad0253f3c

252600205116 has 96 divisors (see below), whose sum is σ = 677162723328. Its totient is φ = 71790451200.

The previous prime is 252600205087. The next prime is 252600205153. The reversal of 252600205116 is 611502006252.

252600205116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21582066 + ... + 21593766.

It is an arithmetic number, because the mean of its divisors is an integer number (7053778368).

Almost surely, 2252600205116 is an apocalyptic number.

It is an amenable number.

252600205116 is an abundant number, since it is smaller than the sum of its proper divisors (424562518212).

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

252600205116 is a wasteful number, since it uses less digits than its factorization.

252600205116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13051 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 252600205116 in words is "two hundred fifty-two billion, six hundred million, two hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 233 466 699 932 1103 1398 1631 2206 2796 3262 3309 4412 4893 6524 6618 7721 9786 11701 13236 15442 19572 23163 23402 30884 35103 46326 46804 70206 81907 92652 140412 163814 245721 256999 327628 491442 513998 770997 982884 1027996 1541994 1798993 2726333 3083988 3597986 5396979 5452666 7195972 8178999 10793958 10905332 12906203 16357998 19084331 21587916 25812406 32715996 38168662 38718609 51624812 57252993 76337324 77437218 90343421 114505986 154874436 180686842 229011972 271030263 361373684 542060526 1084121052 3007145299 6014290598 9021435897 12028581196 18042871794 21050017093 36085743588 42100034186 63150051279 84200068372 126300102558 252600205116