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232938024480 = 25345743211283
BaseRepresentation
bin1101100011110000110…
…0000010111000100000
3211021020211222200210000
43120330030002320200
512304024113240410
6255002114140000
722554264352620
oct3307414027040
9737224880700
10232938024480
118a874495537
123918a581600
1318c732a95a5
14b3ba7dc880
1560d4e9ddc0
hex363c302e20

232938024480 has 960 divisors, whose sum is σ = 969335313408. Its totient is φ = 51575408640.

The previous prime is 232938024467. The next prime is 232938024491. The reversal of 232938024480 is 84420839232.

232938024480 is a `hidden beast` number, since 2 + 3 + 2 + 93 + 80 + 2 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 823102419 + ... + 823102701.

Almost surely, 2232938024480 is an apocalyptic number.

232938024480 is a gapful number since it is divisible by the number (20) 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 232938024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484667656704).

232938024480 is an abundant number, since it is smaller than the sum of its proper divisors (736397288928).

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

232938024480 is a wasteful number, since it uses less digits than its factorization.

232938024480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 232938024480 in words is "two hundred thirty-two billion, nine hundred thirty-eight million, twenty-four thousand, four hundred eighty".