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238980026880 = 29325717101863
BaseRepresentation
bin1101111010010001010…
…0011101001000000000
3211211211221002012220200
43132210110131020000
512403412341330010
6301441431205200
723160101466150
oct3364424351000
9754757065820
10238980026880
1192394aa4351
123a395b16800
13196c6c9043a
14b7d1022760
15633a631cc0
hex37a451d200

238980026880 has 960 divisors, whose sum is σ = 1012620331008. Its totient is φ = 50842828800.

The previous prime is 238980026821. The next prime is 238980026933. The reversal of 238980026880 is 88620089832.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2389800268802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276917329 + ... + 276918191.

Almost surely, 2238980026880 is an apocalyptic number.

238980026880 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 238980026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506310165504).

238980026880 is an abundant number, since it is smaller than the sum of its proper divisors (773640304128).

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

238980026880 is a wasteful number, since it uses less digits than its factorization.

238980026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 238980026880 in words is "two hundred thirty-eight billion, nine hundred eighty million, twenty-six thousand, eight hundred eighty".