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63408017344 = 267473011399
BaseRepresentation
bin111011000011011010…
…011000111111000000
320001200000101000122211
4323003122120333000
52014324423023334
645043525511504
74403211153220
oct730332307700
9201600330584
1063408017344
1124989199a21
1210357272594
135c9682c2b9
1430d734a080
1519b1a40a64
hexec3698fc0

63408017344 has 56 divisors (see below), whose sum is σ = 146859955200. Its totient is φ = 26596667136.

The previous prime is 63408017339. The next prime is 63408017389. The reversal of 63408017344 is 44371080436.

63408017344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 63408017297 and 63408017306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1484644 + ... + 1526755.

It is an arithmetic number, because the mean of its divisors is an integer number (2622499200).

Almost surely, 263408017344 is an apocalyptic number.

63408017344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63408017344 is an abundant number, since it is smaller than the sum of its proper divisors (83451937856).

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

63408017344 is a wasteful number, since it uses less digits than its factorization.

63408017344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011465 (or 3011455 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 63408017344 in words is "sixty-three billion, four hundred eight million, seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 10528 21056 3011399 6022798 12045596 21079793 24091192 42159586 48182384 84319172 96364768 141535753 168638344 192729536 283071506 337276688 566143012 674553376 990750271 1132286024 1349106752 1981500542 2264572048 3963001084 4529144096 7926002168 9058288192 15852004336 31704008672 63408017344