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10232942832 = 2432729714951
BaseRepresentation
bin10011000011110111…
…00101000011110000
3222102011002100121200
421201323211003300
5131424113132312
64411223251200
7511403402400
oct114173450360
928364070550
1010232942832
114381258452
121b96ba9b00
13c7103a078
146d107c800
153ed5730dc
hex261ee50f0

10232942832 has 180 divisors, whose sum is σ = 33659314416. Its totient is φ = 2893363200.

The previous prime is 10232942807. The next prime is 10232942833. The reversal of 10232942832 is 23824923201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232942833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676957 + ... + 691907.

Almost surely, 210232942832 is an apocalyptic number.

10232942832 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 10232942832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829657208).

10232942832 is an abundant number, since it is smaller than the sum of its proper divisors (23426371584).

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

10232942832 is a wasteful number, since it uses less digits than its factorization.

10232942832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15076 (or 15060 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 102329 and 42832, that added together give a square (145161 = 3812).

The spelling of 10232942832 in words is "ten billion, two hundred thirty-two million, nine hundred forty-two thousand, eight hundred thirty-two".