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378930896640 = 28325199165293
BaseRepresentation
bin1011000001110100000…
…10101001111100000000
31100020002100100000122100
411200322002221330000
522202022302143030
6450024540110400
736243155322462
oct5407202517400
91306070300570
10378930896640
1113678168118a
1261533235400
132996b60cb8a
14144a9d02132
159ccbd9b360
hex583a0a9f00

378930896640 has 216 divisors, whose sum is σ = 1317657650400. Its totient is φ = 100539850752.

The previous prime is 378930896623. The next prime is 378930896653. The reversal of 378930896640 is 46698039873.

378930896640 is a `hidden beast` number, since 378 + 93 + 0 + 89 + 66 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2209834 + ... + 2375126.

It is an arithmetic number, because the mean of its divisors is an integer number (6100266900).

Almost surely, 2378930896640 is an apocalyptic number.

378930896640 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 378930896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658828825200).

378930896640 is an abundant number, since it is smaller than the sum of its proper divisors (938726753760).

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

378930896640 is a wasteful number, since it uses less digits than its factorization.

378930896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165519 (or 165502 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 378930896640 in words is "three hundred seventy-eight billion, nine hundred thirty million, eight hundred ninety-six thousand, six hundred forty".