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232810495008 = 253721331127967
BaseRepresentation
bin1101100011010010010…
…1100011110000100000
3211020220222000112020020
43120310211203300200
512303243441320013
6254541320513440
722551155361600
oct3306445436040
9736828015206
10232810495008
118a809500783
123915391b880
1318c52a47470
14b3a78c2c00
1560c8bac623
hex3634963c20

232810495008 has 576 divisors, whose sum is σ = 797331161088. Its totient is φ = 58891069440.

The previous prime is 232810495003. The next prime is 232810495067. The reversal of 232810495008 is 800594018232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (232810495003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240754941 + ... + 240755907.

It is an arithmetic number, because the mean of its divisors is an integer number (1384255488).

Almost surely, 2232810495008 is an apocalyptic number.

232810495008 is a gapful number since it is divisible by the number (28) 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 232810495008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398665580544).

232810495008 is an abundant number, since it is smaller than the sum of its proper divisors (564520666080).

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

232810495008 is a wasteful number, since it uses less digits than its factorization.

232810495008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 232810495008 in words is "two hundred thirty-two billion, eight hundred ten million, four hundred ninety-five thousand, eight".