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378809257632 = 253133125913779
BaseRepresentation
bin1011000001100101100…
…10101000111010100000
31100012202212110010021220
411200302302220322200
522201300132221012
6450004513015040
736240150364011
oct5406262507240
91305685403256
10378809257632
11136719a4aa83
12614ba554480
132994c360c30
1414497abb008
159cc137008c
hex5832ca8ea0

378809257632 has 192 divisors, whose sum is σ = 1106127912960. Its totient is φ = 112723430400.

The previous prime is 378809257627. The next prime is 378809257643. The reversal of 378809257632 is 236752908873.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100238719 + ... + 100242497.

It is an arithmetic number, because the mean of its divisors is an integer number (5761082880).

Almost surely, 2378809257632 is an apocalyptic number.

378809257632 is a gapful number since it is divisible by the number (32) 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 378809257632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553063956480).

378809257632 is an abundant number, since it is smaller than the sum of its proper divisors (727318655328).

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

378809257632 is a wasteful number, since it uses less digits than its factorization.

378809257632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 378809257632 in words is "three hundred seventy-eight billion, eight hundred nine million, two hundred fifty-seven thousand, six hundred thirty-two".