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4285656864 = 2536183713
BaseRepresentation
bin1111111101110001…
…1110111100100000
3102001200012221000000
43333130132330200
532234112004424
61545132300000
7211126324266
oct37734367440
912050187000
104285656864
1118aa161485
129b7311600
13533b69b48
142c9272436
151a139e3c9
hexff71ef20

4285656864 has 84 divisors (see below), whose sum is σ = 12650362326. Its totient is φ = 1428544512.

The previous prime is 4285656847. The next prime is 4285656887. The reversal of 4285656864 is 4686565824.

4285656864 is a `hidden beast` number, since 4 + 28 + 56 + 568 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2372469264 + 1913187600 = 48708^2 + 43740^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4285656864.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 68529 + ... + 115184.

Almost surely, 24285656864 is an apocalyptic number.

It is an amenable number.

4285656864 is an abundant number, since it is smaller than the sum of its proper divisors (8364705462).

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

4285656864 is an equidigital number, since it uses as much as digits as its factorization.

4285656864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183741 (or 183718 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The square root of 4285656864 is about 65464.9285037416. The cubic root of 4285656864 is about 1624.3232671203.

The spelling of 4285656864 in words is "four billion, two hundred eighty-five million, six hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 183713 367426 551139 734852 1102278 1469704 1653417 2204556 2939408 3306834 4409112 4960251 5878816 6613668 8818224 9920502 13227336 14880753 17636448 19841004 26454672 29761506 39682008 44642259 52909344 59523012 79364016 89284518 119046024 133926777 158728032 178569036 238092048 267853554 357138072 476184096 535707108 714276144 1071414216 1428552288 2142828432 4285656864