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10126799424 = 2632725992
BaseRepresentation
bin10010110111001101…
…01011001001000000
3222010202100201020100
421123212223021000
5131214430040144
64352512242400
7505644242400
oct113346531100
928122321210
1010126799424
114327350325
121b67540400
13c55055211
146c0d2c800
153e40a8269
hex25b9ab240

10126799424 has 189 divisors, whose sum is σ = 33822149907. Its totient is φ = 2888540928.

The previous prime is 10126799393. The next prime is 10126799437. The reversal of 10126799424 is 42499762101.

The square root of 10126799424 is 100632.

It is a perfect power (a square), and thus also a powerful number.

10126799424 is a `hidden beast` number, since 10 + 126 + 7 + 99 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10126799424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16905877 + ... + 16906475.

Almost surely, 210126799424 is an apocalyptic number.

10126799424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10126799424 is the 100632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10126799424

10126799424 is an abundant number, since it is smaller than the sum of its proper divisors (23695350483).

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

10126799424 is an frugal number, since it uses more digits than its factorization.

10126799424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10126799424 in words is "ten billion, one hundred twenty-six million, seven hundred ninety-nine thousand, four hundred twenty-four".