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232930716480 = 263257113121093
BaseRepresentation
bin1101100011101111000…
…0001010101101000000
3211021020100020102002100
43120323300022231000
512304020230411410
6255001253350400
722554145264530
oct3307360125500
9737210212070
10232930716480
118a870353970
1239188038400
1318c7191b127
14b3b98594c0
1560d45088c0
hex363bc0ab40

232930716480 has 1008 divisors, whose sum is σ = 1033085169792. Its totient is φ = 46797004800.

The previous prime is 232930716479. The next prime is 232930716493. The reversal of 232930716480 is 84617039232.

232930716480 is a `hidden beast` number, since 2 + 329 + 307 + 16 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2329307164802 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 213110814 + ... + 213111906.

Almost surely, 2232930716480 is an apocalyptic number.

232930716480 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 232930716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516542584896).

232930716480 is an abundant number, since it is smaller than the sum of its proper divisors (800154453312).

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

232930716480 is a wasteful number, since it uses less digits than its factorization.

232930716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 232930716480 in words is "two hundred thirty-two billion, nine hundred thirty million, seven hundred sixteen thousand, four hundred eighty".