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238847248640 = 285711131311423
BaseRepresentation
bin1101111001110001100…
…1111100100100000000
3211211111200020101102002
43132130121330210000
512403124343424030
6301420325243132
723153600054450
oct3363431744400
9754450211362
10238847248640
1192327055070
123a3595634a8
13196a5611230
14b7bb53bd60
15632db55245
hex379c67c900

238847248640 has 576 divisors, whose sum is σ = 774560489472. Its totient is φ = 68146790400.

The previous prime is 238847248613. The next prime is 238847248657. The reversal of 238847248640 is 46842748832.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167846969 + ... + 167848391.

It is an arithmetic number, because the mean of its divisors is an integer number (1344723072).

Almost surely, 2238847248640 is an apocalyptic number.

238847248640 is a gapful number since it is divisible by the number (20) 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 238847248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387280244736).

238847248640 is an abundant number, since it is smaller than the sum of its proper divisors (535713240832).

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

238847248640 is a wasteful number, since it uses less digits than its factorization.

238847248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 56.

The spelling of 238847248640 in words is "two hundred thirty-eight billion, eight hundred forty-seven million, two hundred forty-eight thousand, six hundred forty".