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379284079680 = 2632511232112467
BaseRepresentation
bin1011000010011110001…
…01111100010001000000
31100020222221220120200200
411201033011330101000
522203233211022210
6450123554045200
736255004324602
oct5411705742100
91306887816620
10379284079680
11136942a7a8a0
1261611579800
13299c683bb1c
1414500b9b172
159cecdb30c0
hex584f17c440

379284079680 has 672 divisors, whose sum is σ = 1492697576448. Its totient is φ = 87497625600.

The previous prime is 379284079673. The next prime is 379284079711. The reversal of 379284079680 is 86970482973.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153741807 + ... + 153744273.

Almost surely, 2379284079680 is an apocalyptic number.

379284079680 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 379284079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746348788224).

379284079680 is an abundant number, since it is smaller than the sum of its proper divisors (1113413496768).

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

379284079680 is a wasteful number, since it uses less digits than its factorization.

379284079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 379284079680 in words is "three hundred seventy-nine billion, two hundred eighty-four million, seventy-nine thousand, six hundred eighty".