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14437704648 = 23317193173823
BaseRepresentation
bin11010111001000110…
…11110001111001000
31101021012002101110210
431130203132033020
5214032023022043
610344350041120
71020531315243
oct153443361710
941235071423
1014437704648
116139787214
12296b1a91a0
1314911c2303
149ad69425a
15597793633
hex35c8de3c8

14437704648 has 256 divisors, whose sum is σ = 42146611200. Its totient is φ = 4090798080.

The previous prime is 14437704599. The next prime is 14437704653. The reversal of 14437704648 is 84640773441.

It is a Cunningham number, because it is equal to 1201572-1.

It is a junction number, because it is equal to n+sod(n) for n = 14437704597 and 14437704606.

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, 17542365 + ... + 17543187.

It is an arithmetic number, because the mean of its divisors is an integer number (164635200).

Almost surely, 214437704648 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 14437704648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073305600).

14437704648 is an abundant number, since it is smaller than the sum of its proper divisors (27708906552).

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

14437704648 is a wasteful number, since it uses less digits than its factorization.

14437704648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 14437704648 in words is "fourteen billion, four hundred thirty-seven million, seven hundred four thousand, six hundred forty-eight".