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258922867980 = 22357173161127151
BaseRepresentation
bin1111000100100100000…
…0010110110100001100
3220202022210001111220010
43301021000112310030
513220233223233410
6314540355353220
724464231031060
oct3611100266414
9822283044803
10258922867980
119a899233007
12422208b2810
131b55487432a
14c7638a9aa0
156b0635bc20
hex3c49016d0c

258922867980 has 768 divisors, whose sum is σ = 933828231168. Its totient is φ = 52254720000.

The previous prime is 258922867979. The next prime is 258922867993. The reversal of 258922867980 is 89768229852.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1714720905 + ... + 1714721055.

It is an arithmetic number, because the mean of its divisors is an integer number (1215922176).

Almost surely, 2258922867980 is an apocalyptic number.

258922867980 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 258922867980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466914115584).

258922867980 is an abundant number, since it is smaller than the sum of its proper divisors (674905363188).

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

258922867980 is a wasteful number, since it uses less digits than its factorization.

258922867980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 258922867980 in words is "two hundred fifty-eight billion, nine hundred twenty-two million, eight hundred sixty-seven thousand, nine hundred eighty".