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380845052928 = 210322931431069
BaseRepresentation
bin1011000101011000010…
…00100101010000000000
31100102000202011020102200
411202230020211100000
522214432313143203
6450542515113200
736341460352164
oct5425410452000
91312022136380
10380845052928
1113757411612a
12619882a2800
1329bb505c032
141460c212ca4
159d8ee539a3
hex58ac225400

380845052928 has 528 divisors, whose sum is σ = 1202732044800. Its totient is φ = 115750010880.

The previous prime is 380845052881. The next prime is 380845053007. The reversal of 380845052928 is 829250548083.

It is a happy number.

380845052928 is a `hidden beast` number, since 38 + 0 + 84 + 5 + 0 + 529 + 2 + 8 = 666.

It is a super-2 number, since 2×3808450529282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 356262378 + ... + 356263446.

It is an arithmetic number, because the mean of its divisors is an integer number (2277901600).

Almost surely, 2380845052928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380845052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601366022400).

380845052928 is an abundant number, since it is smaller than the sum of its proper divisors (821886991872).

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

380845052928 is a wasteful number, since it uses less digits than its factorization.

380845052928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 380845052928 in words is "three hundred eighty billion, eight hundred forty-five million, fifty-two thousand, nine hundred twenty-eight".