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379381002480 = 24345419139729
BaseRepresentation
bin1011000010101001101…
…11101011000011110000
31100021020201021202210000
411201110313223003300
522203433014034410
6450141335310000
736260262212424
oct5412467530360
91307221252700
10379381002480
1113699275a387
1261639b1b300
1329a10945aac
141450d9cab84
159d0665adc0
hex5854deb0f0

379381002480 has 200 divisors, whose sum is σ = 1320800619600. Its totient is φ = 100926093312.

The previous prime is 379381002479. The next prime is 379381002499. The reversal of 379381002480 is 84200183973.

379381002480 is a `hidden beast` number, since 3 + 7 + 93 + 81 + 0 + 0 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 2645256 + ... + 2784984.

It is an arithmetic number, because the mean of its divisors is an integer number (6604003098).

Almost surely, 2379381002480 is an apocalyptic number.

379381002480 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 379381002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660400309800).

379381002480 is an abundant number, since it is smaller than the sum of its proper divisors (941419617120).

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

379381002480 is a wasteful number, since it uses less digits than its factorization.

379381002480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140173 (or 140158 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 379381002480 in words is "three hundred seventy-nine billion, three hundred eighty-one million, two thousand, four hundred eighty".