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285444200064 = 273977663343
BaseRepresentation
bin1000010011101011100…
…11001101011010000000
31000021210002121202222210
410021311303031122000
514134042203400224
6335044203502120
726423400445002
oct4116563153200
91007702552883
10285444200064
1110006889a381
12473a2827940
1320bc032b63a
14db5bd0a372
15765988e429
hex4275ccd680

285444200064 has 64 divisors (see below), whose sum is σ = 766027866240. Its totient is φ = 94167146496.

The previous prime is 285444200057. The next prime is 285444200071. The reversal of 285444200064 is 460002444582.

It is an interprime number because it is at equal distance from previous prime (285444200057) and next prime (285444200071).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 285444199995 and 285444200031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3794424 + ... + 3868919.

It is an arithmetic number, because the mean of its divisors is an integer number (11969185410).

Almost surely, 2285444200064 is an apocalyptic number.

285444200064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

285444200064 is an abundant number, since it is smaller than the sum of its proper divisors (480583666176).

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

285444200064 is an equidigital number, since it uses as much as digits as its factorization.

285444200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663457 (or 7663445 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 285444200064 in words is "two hundred eighty-five billion, four hundred forty-four million, two hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 2328 3104 4656 6208 9312 12416 18624 37248 7663343 15326686 22990029 30653372 45980058 61306744 91960116 122613488 183920232 245226976 367840464 490453952 735680928 743344271 980907904 1471361856 1486688542 2230032813 2942723712 2973377084 4460065626 5946754168 8920131252 11893508336 17840262504 23787016672 35680525008 47574033344 71361050016 95148066688 142722100032 285444200064