Search a number
-
+
238521896704 = 28713231992237
BaseRepresentation
bin1101111000100100000…
…0110100111100000000
3211210200000000210110101
43132021000310330000
512401443101143304
6301324144012144
723142536445520
oct3361100647400
9753600023411
10238521896704
119217a435373
123a288601054
13196530a7cb0
14b78a249680
1563102d98a4
hex3789034f00

238521896704 has 288 divisors, whose sum is σ = 614809036800. Its totient is φ = 89763987456.

The previous prime is 238521896699. The next prime is 238521896737. The reversal of 238521896704 is 407698125832.

It is a congruent number.

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, 106624674 + ... + 106626910.

It is an arithmetic number, because the mean of its divisors is an integer number (2134753600).

It is a 1-persistent number, because it is pandigital, but 2⋅238521896704 = 477043793408 is not.

Almost surely, 2238521896704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238521896704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307404518400).

238521896704 is an abundant number, since it is smaller than the sum of its proper divisors (376287140096).

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

238521896704 is a wasteful number, since it uses less digits than its factorization.

238521896704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 238521896704 in words is "two hundred thirty-eight billion, five hundred twenty-one million, eight hundred ninety-six thousand, seven hundred four".