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10217476893 = 3131618316189
BaseRepresentation
bin10011000010000001…
…00101001100011101
3222101001222121100010
421201000211030131
5131411133230033
64405511553433
7511125056241
oct114100451435
928331877303
1010217476893
114373554688
121b9198b879
13c6aa83620
146ccdb4421
153ec01a863
hex26102531d

10217476893 has 16 divisors (see below), whose sum is σ = 14673061760. Its totient is φ = 6286901184.

The previous prime is 10217476891. The next prime is 10217476903. The reversal of 10217476893 is 39867471201.

It is a happy number.

10217476893 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10217476893 - 21 = 10217476891 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217476891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623043 + ... + 639231.

It is an arithmetic number, because the mean of its divisors is an integer number (917066360).

Almost surely, 210217476893 is an apocalyptic number.

10217476893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10217476893 is a deficient number, since it is larger than the sum of its proper divisors (4455584867).

10217476893 is a wasteful number, since it uses less digits than its factorization.

10217476893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32388.

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 10217476893 in words is "ten billion, two hundred seventeen million, four hundred seventy-six thousand, eight hundred ninety-three".

Divisors: 1 3 13 39 16183 16189 48549 48567 210379 210457 631137 631371 261986587 785959761 3405825631 10217476893