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14479497120 = 25351137137541
BaseRepresentation
bin11010111110000101…
…11001011110100000
31101101002201122222010
431133002321132200
5214123222401440
610352441512520
71021546460214
oct153702713640
941332648863
1014479497120
116160331550
1229811a2740
131499a6599a
149b5052944
1559b29b580
hex35f0b97a0

14479497120 has 384 divisors, whose sum is σ = 51569747712. Its totient is φ = 3384115200.

The previous prime is 14479497103. The next prime is 14479497167. The reversal of 14479497120 is 2179497441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14479497120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26764050 + ... + 26764590.

It is an arithmetic number, because the mean of its divisors is an integer number (134296218).

Almost surely, 214479497120 is an apocalyptic number.

14479497120 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 14479497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25784873856).

14479497120 is an abundant number, since it is smaller than the sum of its proper divisors (37090250592).

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

14479497120 is a wasteful number, since it uses less digits than its factorization.

14479497120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 14479497120 in words is "fourteen billion, four hundred seventy-nine million, four hundred ninety-seven thousand, one hundred twenty".