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2254812098968 = 2311134148072917
BaseRepresentation
bin100000110011111101010…
…001100011000110011000
321222120001201202122220001
4200303331101203012120
5243420323344131333
64443502452342344
7321622226415622
oct40637521430630
97876051678801
102254812098968
1179a295713230
12304bb80149b4
131348215728b0
147b1c240dc12
153d9bd4d3b7d
hex20cfd463198

2254812098968 has 64 divisors (see below), whose sum is σ = 5088037641120. Its totient is φ = 922999987200.

The previous prime is 2254812098911. The next prime is 2254812098983. The reversal of 2254812098968 is 8698902184522.

It is a super-4 number, since 4×22548120989684 (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23989555 + ... + 24083362.

Almost surely, 22254812098968 is an apocalyptic number.

It is an amenable number.

2254812098968 is an abundant number, since it is smaller than the sum of its proper divisors (2833225542152).

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

2254812098968 is a wasteful number, since it uses less digits than its factorization.

2254812098968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48072988 (or 48072984 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

The spelling of 2254812098968 in words is "two trillion, two hundred fifty-four billion, eight hundred twelve million, ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 41 44 52 82 88 104 143 164 286 328 451 533 572 902 1066 1144 1804 2132 3608 4264 5863 11726 23452 46904 48072917 96145834 192291668 384583336 528802087 624947921 1057604174 1249895842 1970989597 2115208348 2499791684 3941979194 4230416696 4999583368 6874427131 7883958388 13748854262 15767916776 21680885567 25622864761 27497708524 43361771134 51245729522 54995417048 86723542268 102491459044 173447084536 204982918088 281851512371 563703024742 1127406049484 2254812098968