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10336351616 = 27237394751
BaseRepresentation
bin10011010000001100…
…00011010110000000
3222200100200001210122
421220012003112000
5132132101222431
64425355515412
7514100352623
oct115006032600
928610601718
1010336351616
114424667a58
122005758b68
13c895a52b6
14700ab9dba
1540769ca7b
hex268183580

10336351616 has 64 divisors (see below), whose sum is σ = 21520857600. Its totient is φ = 4935744000.

The previous prime is 10336351609. The next prime is 10336351637. The reversal of 10336351616 is 61615363301.

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

It is a super-2 number, since 2×103363516162 (a number of 21 digits) contains 22 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2173241 + ... + 2177991.

It is an arithmetic number, because the mean of its divisors is an integer number (336263400).

Almost surely, 210336351616 is an apocalyptic number.

10336351616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10336351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760428800).

10336351616 is an abundant number, since it is smaller than the sum of its proper divisors (11184505984).

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

10336351616 is an equidigital number, since it uses as much as digits as its factorization.

10336351616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The spelling of 10336351616 in words is "ten billion, three hundred thirty-six million, three hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 739 1472 1478 2944 2956 4751 5912 9502 11824 16997 19004 23648 33994 38008 47296 67988 76016 94592 109273 135976 152032 218546 271952 304064 437092 543904 608128 874184 1087808 1748368 2175616 3496736 3510989 6993472 7021978 13986944 14043956 28087912 56175824 80752747 112351648 161505494 224703296 323010988 449406592 646021976 1292043952 2584087904 5168175808 10336351616