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232470120960 = 29335711311409
BaseRepresentation
bin1101100010000001001…
…1001000101000000000
3211020001020112201211000
43120200103020220000
512302044322332320
6254443441252000
722536553265460
oct3304023105000
9736036481730
10232470120960
118a654360710
1239079934000
1318bca3817bc
14b3745ddba0
1560a8d75c90
hex36204c8a00

232470120960 has 1280 divisors, whose sum is σ = 1063474790400. Its totient is φ = 46714060800.

The previous prime is 232470120947. The next prime is 232470121049. The reversal of 232470120960 is 69021074232.

232470120960 is a `hidden beast` number, since 2 + 3 + 2 + 470 + 120 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164988736 + ... + 164990144.

It is an arithmetic number, because the mean of its divisors is an integer number (830839680).

Almost surely, 2232470120960 is an apocalyptic number.

232470120960 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 232470120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531737395200).

232470120960 is an abundant number, since it is smaller than the sum of its proper divisors (831004669440).

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

232470120960 is a wasteful number, since it uses less digits than its factorization.

232470120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 232470120960 in words is "two hundred thirty-two billion, four hundred seventy million, one hundred twenty thousand, nine hundred sixty".