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380835423903456 = 25333747253468511
BaseRepresentation
bin101011010010111100010100…
…0001010001101111011100000
31211221102111210111021002122000
41112211320220022031323200
5344404101422004402311
63425545213430244000
7143134310553615054
oct12645705012157340
91757374714232560
10380835423903456
1110038943a486325
1236868558ab6600
131346681b1c7a02
146a08766285c64
152e0660b451056
hex15a5e2828dee0

380835423903456 has 192 divisors, whose sum is σ = 1165062946037760. Its totient is φ = 120886229537280.

The previous prime is 380835423903373. The next prime is 380835423903463. The reversal of 380835423903456 is 654309324538083.

It is a happy number.

380835423903456 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 3 + 54 + 239 + 0 + 345 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 380835423903393 and 380835423903402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125231760 + ... + 128236751.

It is an arithmetic number, because the mean of its divisors is an integer number (6068036177280).

Almost surely, 2380835423903456 is an apocalyptic number.

380835423903456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

380835423903456 is an abundant number, since it is smaller than the sum of its proper divisors (784227522134304).

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

380835423903456 is a wasteful number, since it uses less digits than its factorization.

380835423903456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253468614 (or 253468600 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 380835423903456 in words is "three hundred eighty trillion, eight hundred thirty-five billion, four hundred twenty-three million, nine hundred three thousand, four hundred fifty-six".