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2268704713284 = 2236278932
BaseRepresentation
bin100001000000111001010…
…101101010101001000100
322000212220221011121000000
4201000321111222221010
5244132301401311114
64454121211321300
7322623421611432
oct41007125525104
98025827147000
102268704713284
117a5174735a69
12307834750230
13135c26853339
147bb3d531d52
153e032ea3e09
hex2103956aa44

2268704713284 has 63 divisors (see below), whose sum is σ = 5952840221293. Its totient is φ = 756207792432.

The previous prime is 2268704713277. The next prime is 2268704713307. The reversal of 2268704713284 is 4823174078622.

The square root of 2268704713284 is 1506222.

It is a perfect power (a square), and thus also a powerful number.

2268704713284 is a `hidden beast` number, since 2 + 2 + 68 + 7 + 0 + 471 + 32 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2267403524100 + 1301189184 = 1505790^2 + 36072^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2268704713284.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 81322042 + ... + 81349934.

Almost surely, 22268704713284 is an apocalyptic number.

2268704713284 is the 1506222-nd square number.

It is an amenable number.

2268704713284 is an abundant number, since it is smaller than the sum of its proper divisors (3684135508009).

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

2268704713284 is an frugal number, since it uses more digits than its factorization.

2268704713284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55808 (or 27898 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2268704713284 in words is "two trillion, two hundred sixty-eight billion, seven hundred four million, seven hundred thirteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 27893 55786 83679 111572 167358 251037 334716 502074 753111 1004148 1506222 2259333 3012444 4518666 6777999 9037332 13555998 20333997 27111996 40667994 81335988 778019449 1556038898 2334058347 3112077796 4668116694 7002175041 9336233388 14004350082 21006525123 28008700164 42013050246 63019575369 84026100492 126039150738 189058726107 252078301476 378117452214 567176178321 756234904428 1134352356642 2268704713284