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2260943825982 = 2317246116191747
BaseRepresentation
bin100000111001101010110…
…000001110110000111110
322000010220001200200001120
4200321222300032300332
5244020403104412412
64450355132451410
7322230203300022
oct40715260166076
98003801620046
102260943825982
117a1951935516
12306229619b66
1313528aa1022a
147b60490c382
153dc2b98bb8c
hex20e6ac0ec3e

2260943825982 has 96 divisors (see below), whose sum is σ = 4819678174080. Its totient is φ = 706935006720.

The previous prime is 2260943825951. The next prime is 2260943825993. The reversal of 2260943825982 is 2895283490622.

It is a happy number.

It is a super-2 number, since 2×22609438259822 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294185633 + ... + 1294187379.

It is an arithmetic number, because the mean of its divisors is an integer number (50204980980).

Almost surely, 22260943825982 is an apocalyptic number.

2260943825982 is an abundant number, since it is smaller than the sum of its proper divisors (2558734348098).

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

2260943825982 is a wasteful number, since it uses less digits than its factorization.

2260943825982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 2260943825982 in words is "two trillion, two hundred sixty billion, nine hundred forty-three million, eight hundred twenty-five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 17 34 51 102 289 461 578 867 922 1383 1619 1734 1747 2766 3238 3494 4857 5241 7837 9714 10482 15674 23511 27523 29699 47022 55046 59398 82569 89097 133229 165138 178194 266458 399687 467891 504883 746359 799374 805367 935782 1009766 1403673 1492718 1514649 1610734 2239077 2416101 2807346 2828393 3029298 4478154 4832202 5656786 8485179 12688103 13691239 16970358 25376206 27382478 38064309 41073717 48082681 76128618 82147434 96165362 144248043 215697751 232751063 288496086 431395502 465502126 647093253 698253189 817405577 1294186506 1303889173 1396506378 1634811154 2452216731 2607778346 3911667519 4904433462 7823335038 22166115941 44332231882 66498347823 132996695646 376823970997 753647941994 1130471912991 2260943825982