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380273060160 = 263257791132113
BaseRepresentation
bin1011000100010100000…
…10100110100101000000
31100100112212211222212100
411202022002212211000
522212244400411120
6450410043230400
736321343451610
oct5421202464500
91310485758770
10380273060160
11137300257534
1261848818400
1329b236bb386
141459627aa40
159d59b19490
hex588a0a6940

380273060160 has 672 divisors, whose sum is σ = 1527876080640. Its totient is φ = 85019590656.

The previous prime is 380273060159. The next prime is 380273060183. The reversal of 380273060160 is 61060372083.

It is a happy number.

380273060160 is a `hidden beast` number, since 380 + 273 + 0 + 6 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179967264 + ... + 179969376.

It is an arithmetic number, because the mean of its divisors is an integer number (2273625120).

Almost surely, 2380273060160 is an apocalyptic number.

380273060160 is a gapful number since it is divisible by the number (30) 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 380273060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763938040320).

380273060160 is an abundant number, since it is smaller than the sum of its proper divisors (1147603020480).

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

380273060160 is a wasteful number, since it uses less digits than its factorization.

380273060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 380273060160 in words is "three hundred eighty billion, two hundred seventy-three million, sixty thousand, one hundred sixty".