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285723389961 = 321724722232
BaseRepresentation
bin1000010100001100111…
…00001111000000001001
31000022111112222002112100
410022012130033000021
514140130141434321
6335132015504013
726433330512502
oct4120634170011
91008445862470
10285723389961
111001a144a929
1247460228009
1320c36121369
14db87023ba9
15767413c326
hex428670f009

285723389961 has 81 divisors (see below), whose sum is σ = 449960988711. Its totient is φ = 174676178304.

The previous prime is 285723389899. The next prime is 285723389999. The reversal of 285723389961 is 169983327582.

The square root of 285723389961 is 534531.

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

285723389961 is a `hidden beast` number, since 28 + 572 + 3 + 38 + 9 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 222449006025 + 63274383936 = 471645^2 + 251544^2 .

It is not a de Polignac number, because 285723389961 - 211 = 285723387913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (285743389961) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1281270696 + ... + 1281270918.

Almost surely, 2285723389961 is an apocalyptic number.

285723389961 is the 534531-st square number.

285723389961 is the 267266-th centered octagonal number.

It is an amenable number.

285723389961 is a deficient number, since it is larger than the sum of its proper divisors (164237598750).

285723389961 is an equidigital number, since it uses as much as digits as its factorization.

285723389961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

It can be divided in two parts, 285723 and 389961, that added together give a square (675684 = 8222).

The spelling of 285723389961 in words is "two hundred eighty-five billion, seven hundred twenty-three million, three hundred eighty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 47 51 141 153 223 289 423 669 799 867 2007 2209 2397 2601 3791 6627 7191 10481 11373 13583 19881 31443 34119 37553 40749 49729 64447 94329 112659 122247 149187 178177 193341 337977 447561 492607 534531 580023 638401 845393 1477821 1603593 1915203 2337263 2536179 3029009 4433463 5745609 7011789 7608537 8374319 9087027 14371681 21035367 25122957 27261081 39733471 43115043 75368871 109851361 119200413 129345129 142363423 329554083 357601239 427090269 675469007 988662249 1281270807 1867473137 2026407021 5602419411 6079221063 16807258233 31747043329 95241129987 285723389961