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380645277696 = 21735171937
BaseRepresentation
bin1011000101000000011…
…10100000000000000000
31100101111211020121100000
411202200032200000000
522214030142341241
6450511021200000
736333513322125
oct5424016400000
91311454217300
10380645277696
11137481377032
1261931400000
1329b82853138
14145cd88c74c
159d7c640eb6
hex58a03a0000

380645277696 has 864 divisors, whose sum is σ = 1305346311360. Its totient is φ = 110075314176.

The previous prime is 380645277671. The next prime is 380645277707. The reversal of 380645277696 is 696772546083.

380645277696 is a `hidden beast` number, since 38 + 0 + 6 + 4 + 527 + 76 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10287710190 + ... + 10287710226.

It is an arithmetic number, because the mean of its divisors is an integer number (1510817490).

Almost surely, 2380645277696 is an apocalyptic number.

380645277696 is a gapful number since it is divisible by the number (36) 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 380645277696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652673155680).

380645277696 is an abundant number, since it is smaller than the sum of its proper divisors (924701033664).

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

380645277696 is an frugal number, since it uses more digits than its factorization.

380645277696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 380645277696 in words is "three hundred eighty billion, six hundred forty-five million, two hundred seventy-seven thousand, six hundred ninety-six".