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254989492016 = 247229711371153
BaseRepresentation
bin1110110101111010001…
…1101101111100110000
3220101011122201022102212
43231132203231330300
513134204302221031
6313050205431252
724264606630500
oct3553643557460
9811148638385
10254989492016
119915aa14476
124150356b528
131b0789ab92c
14c4ad339a00
156975d9712b
hex3b5e8edf30

254989492016 has 240 divisors, whose sum is σ = 607820293440. Its totient is φ = 103177912320.

The previous prime is 254989492007. The next prime is 254989492057. The reversal of 254989492016 is 610294989452.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221152496 + ... + 221153648.

It is an arithmetic number, because the mean of its divisors is an integer number (2532584556).

Almost surely, 2254989492016 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 254989492016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303910146720).

254989492016 is an abundant number, since it is smaller than the sum of its proper divisors (352830801424).

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

254989492016 is a wasteful number, since it uses less digits than its factorization.

254989492016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 59.

The spelling of 254989492016 in words is "two hundred fifty-four billion, nine hundred eighty-nine million, four hundred ninety-two thousand, sixteen".