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10383152832 = 263613171953
BaseRepresentation
bin10011010101110001…
…00101011011000000
3222210121201211000000
421222320211123000
5132231041342312
64434151000000
7515206225413
oct115270453300
928717654000
1010383152832
114449023448
122019369000
13c961b0720
14706dbdb7a
1540b844adc
hex26ae256c0

10383152832 has 784 divisors, whose sum is σ = 37778801760. Its totient is φ = 2794881024.

The previous prime is 10383152783. The next prime is 10383152833. The reversal of 10383152832 is 23825138301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10383152833) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195908518 + ... + 195908570.

Almost surely, 210383152832 is an apocalyptic number.

10383152832 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 10383152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889400880).

10383152832 is an abundant number, since it is smaller than the sum of its proper divisors (27395648928).

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

10383152832 is a wasteful number, since it uses less digits than its factorization.

10383152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10383152832 in words is "ten billion, three hundred eighty-three million, one hundred fifty-two thousand, eight hundred thirty-two".