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10021670016 = 27341636539
BaseRepresentation
bin10010101010101011…
…01000110010000000
3221212102112120210120
421111111220302000
5131011021420031
64334235100240
7503226534561
oct112525506200
927772476716
1010021670016
114282a76016
121b382a1680
13c39336a77
146b0da4168
153d9c3da96
hex255568c80

10021670016 has 64 divisors (see below), whose sum is σ = 27269373600. Its totient is φ = 3259074560.

The previous prime is 10021670003. The next prime is 10021670027. The reversal of 10021670016 is 61007612001.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 302526 + ... + 334013.

Almost surely, 210021670016 is an apocalyptic number.

10021670016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10021670016 is an abundant number, since it is smaller than the sum of its proper divisors (17247703584).

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

10021670016 is an equidigital number, since it uses as much as digits as its factorization.

10021670016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636597 (or 636585 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 10021670016 in words is "ten billion, twenty-one million, six hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 636539 1273078 1909617 2546156 3819234 5092312 7638468 10184624 15276936 20369248 26098099 30553872 40738496 52196198 61107744 78294297 81476992 104392396 122215488 156588594 208784792 244430976 313177188 417569584 626354376 835139168 1252708752 1670278336 2505417504 3340556672 5010835008 10021670016