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379222954272 = 253213122772
BaseRepresentation
bin1011000010010110111…
…00110001000100100000
31100020211200220002101200
411201023130301010200
522203122034014042
6450113532001200
736253332632451
oct5411334610440
91306750802350
10379222954272
11136911520428
12615b5000200
13299b6c89846
14144d6a09128
159ce783bc4c
hex584b731120

379222954272 has 162 divisors, whose sum is σ = 1090647599769. Its totient is φ = 124989845760.

The previous prime is 379222954261. The next prime is 379222954289. The reversal of 379222954272 is 272459222973.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

379222954272 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 2 + 29 + 542 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 332841301776 + 46381652496 = 576924^2 + 215364^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=435444.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1369035798 + ... + 1369036074.

Almost surely, 2379222954272 is an apocalyptic number.

379222954272 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 379222954272

379222954272 is an abundant number, since it is smaller than the sum of its proper divisors (711424645497).

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

379222954272 is an equidigital number, since it uses as much as digits as its factorization.

379222954272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 413 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 379222954272 in words is "three hundred seventy-nine billion, two hundred twenty-two million, nine hundred fifty-four thousand, two hundred seventy-two".