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378939939840 = 210325721121973
BaseRepresentation
bin1011000001110101001…
…01001001110000000000
31100020002222100110120200
411200322211021300000
522202032111033330
6450025502005200
736243325225500
oct5407245116000
91306088313520
10378939939840
11136786798500
1261536276800
1329970458097
14144ab1b7a00
159ccca85a60
hex583a949c00

378939939840 has 2376 divisors, whose sum is σ = 1791433360080. Its totient is φ = 73574645760.

The previous prime is 378939939839. The next prime is 378939939941. The reversal of 378939939840 is 48939939873.

378939939840 is a `hidden beast` number, since 37 + 89 + 3 + 99 + 398 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5190958044 + ... + 5190958116.

Almost surely, 2378939939840 is an apocalyptic number.

378939939840 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 378939939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895716680040).

378939939840 is an abundant number, since it is smaller than the sum of its proper divisors (1412493420240).

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

378939939840 is a wasteful number, since it uses less digits than its factorization.

378939939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 378939939840 in words is "three hundred seventy-eight billion, nine hundred thirty-nine million, nine hundred thirty-nine thousand, eight hundred forty".