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380658755232 = 253371922714593
BaseRepresentation
bin1011000101000010000…
…01111010011010100000
31100101112202121100001000
411202201001322122200
522214042120131412
6450512222112000
736334036014210
oct5424101723240
91311482540030
10380658755232
11137488a41998
1261935a1b600
1329b85591802
14145d159a240
159d7d9044dc
hex58a107a6a0

380658755232 has 384 divisors, whose sum is σ = 1341620582400. Its totient is φ = 102574522368.

The previous prime is 380658755221. The next prime is 380658755233. The reversal of 380658755232 is 232557856083.

380658755232 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 5 + 87 + 552 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (380658755233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26077728 + ... + 26092320.

It is an arithmetic number, because the mean of its divisors is an integer number (3493803600).

Almost surely, 2380658755232 is an apocalyptic number.

380658755232 is a gapful number since it is divisible by the number (32) 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 380658755232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670810291200).

380658755232 is an abundant number, since it is smaller than the sum of its proper divisors (960961827168).

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

380658755232 is a wasteful number, since it uses less digits than its factorization.

380658755232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14865 (or 14851 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 380658755232 in words is "three hundred eighty billion, six hundred fifty-eight million, seven hundred fifty-five thousand, two hundred thirty-two".