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10318142464 = 21073291013
BaseRepresentation
bin10011001110000001…
…00101110000000000
3222122002101221112121
421213000211300000
5132112421024324
64423505334024
7513456523000
oct114700456000
928562357477
1010318142464
114415360173
121bbb637314
13c8589b056
146dc4da000
15405ca25e4
hex267025c00

10318142464 has 176 divisors, whose sum is σ = 24907896000. Its totient is φ = 4265361408.

The previous prime is 10318142459. The next prime is 10318142501. The reversal of 10318142464 is 46424181301.

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 15 ways as a sum of consecutive naturals, for example, 10185222 + ... + 10186234.

Almost surely, 210318142464 is an apocalyptic number.

10318142464 is a gapful number since it is divisible by the number (14) 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 10318142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453948000).

10318142464 is an abundant number, since it is smaller than the sum of its proper divisors (14589753536).

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

10318142464 is an equidigital number, since it uses as much as digits as its factorization.

10318142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 10318142464 in words is "ten billion, three hundred eighteen million, one hundred forty-two thousand, four hundred sixty-four".