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380986109952 = 212375717757
BaseRepresentation
bin1011000101101001000…
…10101011000000000000
31100102101120120200021220
411202310202223000000
522220224421004302
6451004514315040
736345122334150
oct5426442530000
91312346520256
10380986109952
111376367aa388
1261a07588a80
1329c08349526
1414622c50760
159d9c5184bc
hex58b48ab000

380986109952 has 208 divisors, whose sum is σ = 1163141920512. Its totient is φ = 108648529920.

The previous prime is 380986109941. The next prime is 380986109953. The reversal of 380986109952 is 259901689083.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (380986109953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49111258 + ... + 49119014.

It is an arithmetic number, because the mean of its divisors is an integer number (5592028464).

Almost surely, 2380986109952 is an apocalyptic number.

380986109952 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 380986109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581570960256).

380986109952 is an abundant number, since it is smaller than the sum of its proper divisors (782155810560).

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

380986109952 is an equidigital number, since it uses as much as digits as its factorization.

380986109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 380986109952 in words is "three hundred eighty billion, nine hundred eighty-six million, one hundred nine thousand, nine hundred fifty-two".