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10402269696 = 29337138269
BaseRepresentation
bin10011011000000011…
…00000101000000000
3222211221201001102000
421230001200220000
5132300440112241
64440112424000
7515530555620
oct115401405000
928757631360
1010402269696
1144588a0205
122023848000
13c9a144b90
14709758880
1540d36deb6
hex26c060a00

10402269696 has 320 divisors, whose sum is σ = 37901740800. Its totient is φ = 2743123968.

The previous prime is 10402269679. The next prime is 10402269721. The reversal of 10402269696 is 69696220401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1253850 + ... + 1262118.

It is an arithmetic number, because the mean of its divisors is an integer number (118442940).

Almost surely, 210402269696 is an apocalyptic number.

10402269696 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 10402269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18950870400).

10402269696 is an abundant number, since it is smaller than the sum of its proper divisors (27499471104).

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

10402269696 is an equidigital number, since it uses as much as digits as its factorization.

10402269696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10402269696 in words is "ten billion, four hundred two million, two hundred sixty-nine thousand, six hundred ninety-six".