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10664631634314 = 2371913364200043
BaseRepresentation
bin1001101100110000110110…
…0101001000100110001010
31101202112021111220111220110
42123030031211020212022
52344212131144244224
634403133015335150
72150331341126130
oct233141545104612
941675244814813
1010664631634314
113441932593029
121242a636814b6
135c4893c88018
1428c257039750
15137628e54929
hex9b30d94898a

10664631634314 has 32 divisors (see below), whose sum is σ = 25659264084480. Its totient is φ = 2886667209072.

The previous prime is 10664631634313. The next prime is 10664631634339. The reversal of 10664631634314 is 41343613646601.

It is a super-2 number, since 2×106646316343142 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10664631634313) by changing a digit.

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, 6682099224 + ... + 6682100819.

It is an arithmetic number, because the mean of its divisors is an integer number (801852002640).

Almost surely, 210664631634314 is an apocalyptic number.

10664631634314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10664631634314 is an abundant number, since it is smaller than the sum of its proper divisors (14994632450166).

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

10664631634314 is a wasteful number, since it uses less digits than its factorization.

10664631634314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364200074.

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 10664631634314 in words is "ten trillion, six hundred sixty-four billion, six hundred thirty-one million, six hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 13364200043 26728400086 40092600129 80185200258 93549400301 187098800602 253919800817 280648200903 507839601634 561296401806 761759402451 1523518804902 1777438605719 3554877211438 5332315817157 10664631634314