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380140260554880 = 27355722961163173
BaseRepresentation
bin101011001101111000100110…
…1001100011111100010000000
31211211222001110100210001100000
41112123301031030133202000
5344311204223200224010
63424254005211200000
7143033141013632100
oct12633611514374200
91754861410701300
10380140260554880
11100140640935511
1236775890146000
13134160c3ac59b7
1469c2c5b481200
152de34c1cd57c0
hex159bc4d31f880

380140260554880 has 4608 divisors, whose sum is σ = 1684898372102400. Its totient is φ = 81537429012480.

The previous prime is 380140260554869. The next prime is 380140260554881. The reversal of 380140260554880 is 88455062041083.

380140260554880 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 4 + 0 + 2 + 6 + 0 + 554 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (380140260554881) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 2197342546474 + ... + 2197342546646.

Almost surely, 2380140260554880 is an apocalyptic number.

380140260554880 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 380140260554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842449186051200).

380140260554880 is an abundant number, since it is smaller than the sum of its proper divisors (1304758111547520).

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

380140260554880 is a wasteful number, since it uses less digits than its factorization.

380140260554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 380140260554880 in words is "three hundred eighty trillion, one hundred forty billion, two hundred sixty million, five hundred fifty-four thousand, eight hundred eighty".