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14827002268 = 221317151277401
BaseRepresentation
bin11011100111100001…
…00001100110011100
31102021022121202102011
431303300201212130
5220331203033033
610451134041004
71033266303601
oct156360414634
942238552364
1014827002268
116319502291
122a59649164
131523a57430
14a092706a8
155bba40ccd
hex373c2199c

14827002268 has 96 divisors (see below), whose sum is σ = 29964912768. Its totient is φ = 6359040000.

The previous prime is 14827002263. The next prime is 14827002277. The reversal of 14827002268 is 86220072841.

14827002268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14827002268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14827002263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36974868 + ... + 36975268.

It is an arithmetic number, because the mean of its divisors is an integer number (312134508).

Almost surely, 214827002268 is an apocalyptic number.

It is an amenable number.

14827002268 is an abundant number, since it is smaller than the sum of its proper divisors (15137910500).

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

14827002268 is a wasteful number, since it uses less digits than its factorization.

14827002268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 14827002268 in words is "fourteen billion, eight hundred twenty-seven million, two thousand, two hundred sixty-eight".

Divisors: 1 2 4 13 17 26 34 52 68 151 221 277 302 401 442 554 604 802 884 1108 1604 1963 2567 3601 3926 4709 5134 5213 6817 7202 7852 9418 10268 10426 13634 14404 18836 20852 27268 33371 41827 60551 61217 66742 83654 88621 111077 121102 122434 133484 167308 177242 222154 242204 244868 354484 444308 543751 711059 787163 1029367 1087502 1422118 1444001 1574326 1888309 2058734 2175004 2844236 2888002 3148652 3776618 4117468 5776004 7553236 9243767 13381771 16772627 18487534 24548017 26763542 33545254 36975068 49096034 53527084 67090508 98192068 218044151 285134659 436088302 570269318 872176604 1140538636 3706750567 7413501134 14827002268