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260813028252 = 22373124178803
BaseRepresentation
bin1111001011100110101…
…0101111101110011100
3220221012111201121100010
43302321222233232130
513233121113401002
6315452120203220
724562122106320
oct3627152575634
9827174647303
10260813028252
11a0679178437
1242669909510
131b79634126a
14c8a2931980
156bb727446c
hex3cb9aafb9c

260813028252 has 144 divisors (see below), whose sum is σ = 736198315776. Its totient is φ = 70354425600.

The previous prime is 260813028251. The next prime is 260813028277. The reversal of 260813028252 is 252820318062.

It is a self number, because there is not a number n which added to its sum of digits gives 260813028252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260813028251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3270283 + ... + 3349085.

It is an arithmetic number, because the mean of its divisors is an integer number (5112488304).

Almost surely, 2260813028252 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 260813028252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368099157888).

260813028252 is an abundant number, since it is smaller than the sum of its proper divisors (475385287524).

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

260813028252 is a wasteful number, since it uses less digits than its factorization.

260813028252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78920 (or 78887 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 260813028252 in words is "two hundred sixty billion, eight hundred thirteen million, twenty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 41 42 62 82 84 93 123 124 164 186 217 246 287 372 434 492 574 651 861 868 961 1148 1271 1302 1722 1922 2542 2604 2883 3444 3813 3844 5084 5766 6727 7626 8897 11532 13454 15252 17794 20181 26691 26908 35588 39401 40362 53382 78802 78803 80724 106764 118203 157604 157606 236406 236409 275807 315212 472812 472818 551614 551621 827421 945636 1103228 1103242 1654842 1654863 2206484 2442893 3230923 3309684 3309726 4885786 6461846 6619452 7328679 9692769 9771572 12923692 14657358 17100251 19385538 22616461 29314716 34200502 38771076 45232922 51300753 67849383 68401004 75729683 90465844 100158613 102601506 135698766 151459366 200317226 205203012 227189049 271397532 300475839 302918732 400634452 454378098 530107781 600951678 701110291 908756196 1060215562 1201903356 1402220582 1590323343 2103330873 2120431124 2804441164 3104917003 3180646686 4206661746 6209834006 6361293372 8413323492 9314751009 12419668012 18629502018 21734419021 37259004036 43468838042 65203257063 86937676084 130406514126 260813028252