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380649192621984 = 25321113192321150223
BaseRepresentation
bin101011010001100101100101…
…1111010010000011110100000
31211220202201002201020210011200
41112203023023322100132200
5344343024021302400414
63425323454111441200
7143114665562055426
oct12643131372203640
91756681081223150
10380649192621984
11100317463805150
1236838444526200
13134520ac5ca080
1469dd73aa75116
152e0185bb77109
hex15a32cbe907a0

380649192621984 has 576 divisors, whose sum is σ = 1396848777891840. Its totient is φ = 96485620746240.

The previous prime is 380649192621953. The next prime is 380649192622043. The reversal of 380649192621984 is 489126291946083.

380649192621984 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 491 + 9 + 26 + 21 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 7422297 + ... + 28572519.

It is an arithmetic number, because the mean of its divisors is an integer number (2425084683840).

Almost surely, 2380649192621984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380649192621984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698424388945920).

380649192621984 is an abundant number, since it is smaller than the sum of its proper divisors (1016199585269856).

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

380649192621984 is a wasteful number, since it uses less digits than its factorization.

380649192621984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21150305 (or 21150294 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 380649192621984 in words is "three hundred eighty trillion, six hundred forty-nine billion, one hundred ninety-two million, six hundred twenty-one thousand, nine hundred eighty-four".