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10149425280 = 273352325537
BaseRepresentation
bin10010111001111001…
…11111000010000000
3222012022221020002000
421130330333002000
5131241223102110
64355041224000
7506340456111
oct113474770200
928168836060
1010149425280
1143390a4485
121b73032000
13c599478b7
146c3d3c208
153e60771c0
hex25cf3f080

10149425280 has 256 divisors, whose sum is σ = 37510214400. Its totient is φ = 2588737536.

The previous prime is 10149425269. The next prime is 10149425309. The reversal of 10149425280 is 8252494101.

10149425280 is a `hidden beast` number, since 10 + 149 + 425 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 384672 + ... + 410208.

It is an arithmetic number, because the mean of its divisors is an integer number (146524275).

Almost surely, 210149425280 is an apocalyptic number.

10149425280 is a gapful number since it is divisible by the number (10) 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 10149425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755107200).

10149425280 is an abundant number, since it is smaller than the sum of its proper divisors (27360789120).

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

10149425280 is a wasteful number, since it uses less digits than its factorization.

10149425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25588 (or 25570 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10149425280 in words is "ten billion, one hundred forty-nine million, four hundred twenty-five thousand, two hundred eighty".