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14674260480 = 293511215791
BaseRepresentation
bin11011010101010011…
…10111001000000000
31101212200012200001220
431222221313020000
5220023102313410
610424040155040
71026433104345
oct155251671000
941780180056
1014674260480
116250268100
122a16468a80
1314cb208589
149d2c707cc
155ad41e070
hex36aa77200

14674260480 has 240 divisors, whose sum is σ = 51567449472. Its totient is φ = 3557171200.

The previous prime is 14674260473. The next prime is 14674260527. The reversal of 14674260480 is 8406247641.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921385 + ... + 937175.

Almost surely, 214674260480 is an apocalyptic number.

14674260480 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 14674260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25783724736).

14674260480 is an abundant number, since it is smaller than the sum of its proper divisors (36893188992).

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

14674260480 is a wasteful number, since it uses less digits than its factorization.

14674260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15839 (or 15812 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 14674260480 in words is "fourteen billion, six hundred seventy-four million, two hundred sixty thousand, four hundred eighty".