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10330238016 = 26337329601
BaseRepresentation
bin10011001111011101…
…01110110001000000
3222122221011110112000
421213232232301000
5132124020104031
64425020504000
7513664401000
oct114756566100
928587143460
1010330238016
11442117179a
1220036ab000
13c88244697
146ddd68000
15406d913e6
hex267baec40

10330238016 has 448 divisors, whose sum is σ = 36697920000. Its totient is φ = 2844979200.

The previous prime is 10330237993. The next prime is 10330238021. The reversal of 10330238016 is 61083203301.

It is a happy number.

10330238016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17188116 + ... + 17188716.

It is an arithmetic number, because the mean of its divisors is an integer number (81915000).

Almost surely, 210330238016 is an apocalyptic number.

10330238016 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 10330238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18348960000).

10330238016 is an abundant number, since it is smaller than the sum of its proper divisors (26367681984).

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

10330238016 is an equidigital number, since it uses as much as digits as its factorization.

10330238016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10330238016 in words is "ten billion, three hundred thirty million, two hundred thirty-eight thousand, sixteen".