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380939564250 = 23353719223971
BaseRepresentation
bin1011000101100011100…
…01000111010011011010
31100102021022222220121000
411202301301013103122
522220131012024000
6451000132525430
736344015604330
oct5426161072332
91312238886530
10380939564250
111376124a8963
12619b3a80876
1329bcb8004ab
141461a9b5b50
159d983c2000
hex58b1c474da

380939564250 has 768 divisors, whose sum is σ = 1331062087680. Its totient is φ = 78821424000.

The previous prime is 380939564167. The next prime is 380939564293. The reversal of 380939564250 is 52465939083.

380939564250 is a `hidden beast` number, since 3 + 80 + 93 + 9 + 56 + 425 + 0 = 666.

It is a super-2 number, since 2×3809395642502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 392316265 + ... + 392317235.

It is an arithmetic number, because the mean of its divisors is an integer number (1733153760).

Almost surely, 2380939564250 is an apocalyptic number.

380939564250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380939564250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665531043840).

380939564250 is an abundant number, since it is smaller than the sum of its proper divisors (950122523430).

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

380939564250 is a wasteful number, since it uses less digits than its factorization.

380939564250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 380939564250 in words is "three hundred eighty billion, nine hundred thirty-nine million, five hundred sixty-four thousand, two hundred fifty".