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10423330632 = 2332111317231113
BaseRepresentation
bin10011011010100011…
…10110011101001000
3222220102100001120200
421231101312131020
5132321333040012
64442144052200
7516204564021
oct115521663510
928812301520
1010423330632
114469775640
12202a904060
13ca160a180
1470c47bc48
1541012e3dc
hex26d476748

10423330632 has 576 divisors, whose sum is σ = 36689103360. Its totient is φ = 2632089600.

The previous prime is 10423330607. The next prime is 10423330679. The reversal of 10423330632 is 23603332401.

It is a happy number.

10423330632 is a `hidden beast` number, since 1 + 0 + 4 + 23 + 3 + 3 + 0 + 632 = 666.

10423330632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10423330596 and 10423330605.

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 143 ways as a sum of consecutive naturals, for example, 92241808 + ... + 92241920.

It is an arithmetic number, because the mean of its divisors is an integer number (63696360).

Almost surely, 210423330632 is an apocalyptic number.

10423330632 is a gapful number since it is divisible by the number (12) 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 10423330632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18344551680).

10423330632 is an abundant number, since it is smaller than the sum of its proper divisors (26265772728).

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

10423330632 is a wasteful number, since it uses less digits than its factorization.

10423330632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 10423330632 in words is "ten billion, four hundred twenty-three million, three hundred thirty thousand, six hundred thirty-two".