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2252463641274 = 2371122112100587
BaseRepresentation
bin100000110001110001010…
…010111001001010111010
321222100000001201122120110
4200301301102321022322
5243401021143010044
64442433441005150
7321510102022320
oct40616122711272
97870001648513
102252463641274
117992a0005200
123046616237b6
13134538b62362
147b03c569d10
153d8d223e6b9
hex20c714b92ba

2252463641274 has 96 divisors (see below), whose sum is σ = 5685905207808. Its totient is φ = 582282439200.

The previous prime is 2252463641273. The next prime is 2252463641321. The reversal of 2252463641274 is 4721463642522.

It is a super-2 number, since 2×22524636412742 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2252463641273) 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, 22009 + ... + 2122595.

It is an arithmetic number, because the mean of its divisors is an integer number (59228179248).

Almost surely, 22252463641274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252463641274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842952603904).

2252463641274 is an abundant number, since it is smaller than the sum of its proper divisors (3433441566534).

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

2252463641274 is a wasteful number, since it uses less digits than its factorization.

2252463641274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100832 (or 2100821 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 48.

The spelling of 2252463641274 in words is "two trillion, two hundred fifty-two billion, four hundred sixty-three million, six hundred forty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 211 231 242 363 422 462 633 726 847 1266 1477 1694 2321 2541 2954 4431 4642 5082 6963 8862 13926 16247 25531 32494 48741 51062 76593 97482 153186 178717 357434 536151 1072302 2100587 4201174 6301761 12603522 14704109 23106457 29408218 44112327 46212914 69319371 88224654 138638742 161745199 254171027 323490398 443223857 485235597 508342054 762513081 886447714 970471194 1329671571 1525026162 1779197189 2659343142 3102566999 3558394378 4875462427 5337591567 6205133998 9307700997 9750924854 10675183134 14626387281 18615401994 29252774562 34128236989 53630086697 68256473978 102384710967 107260173394 160890260091 204769421934 321780520182 375410606879 750821213758 1126231820637 2252463641274