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10123689744 = 243471958733
BaseRepresentation
bin10010110110110101…
…10011111100010000
3222010112111201120000
421123122303330100
5131213131032434
64352321450000
7505605641310
oct113332637420
928115451500
1010123689744
114325616a43
121b664a0900
13c5450697c
146c075d440
153e3b91b99
hex25b6b3f10

10123689744 has 200 divisors, whose sum is σ = 35249797440. Its totient is φ = 2740200192.

The previous prime is 10123689739. The next prime is 10123689757. The reversal of 10123689744 is 44798632101.

It is a self number, because there is not a number n which added to its sum of digits gives 10123689744.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143002 + ... + 201734.

Almost surely, 210123689744 is an apocalyptic number.

10123689744 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 10123689744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17624898720).

10123689744 is an abundant number, since it is smaller than the sum of its proper divisors (25126107696).

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

10123689744 is a wasteful number, since it uses less digits than its factorization.

10123689744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58779 (or 58764 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10123689744 in words is "ten billion, one hundred twenty-three million, six hundred eighty-nine thousand, seven hundred forty-four".