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10467090480 = 2435711331151
BaseRepresentation
bin10011011111110001…
…10010000000110000
31000000110200021210210
421233320302000300
5132414033343410
64450350024120
7520245541530
oct115770620060
930013607723
1010467090480
114491444000
1220414a8040
13caa6bc182
147141cd4c0
15413dc5220
hex26fe32030

10467090480 has 640 divisors, whose sum is σ = 42383572992. Its totient is φ = 2090880000.

The previous prime is 10467090457. The next prime is 10467090509. The reversal of 10467090480 is 8409076401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69318405 + ... + 69318555.

Almost surely, 210467090480 is an apocalyptic number.

10467090480 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 10467090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21191786496).

10467090480 is an abundant number, since it is smaller than the sum of its proper divisors (31916482512).

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

10467090480 is a wasteful number, since it uses less digits than its factorization.

10467090480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10467090480 in words is "ten billion, four hundred sixty-seven million, ninety thousand, four hundred eighty".