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51344298432 = 2632713819221
BaseRepresentation
bin101111110100010110…
…111101000111000000
311220112021100121101200
4233310112331013000
51320123120022212
635330502301200
73465234223110
oct576426750700
9156467317350
1051344298432
111a858577399
129b4b127800
134ac3417b9b
1426b10a3040
1515078d56dc
hexbf45bd1c0

51344298432 has 168 divisors, whose sum is σ = 168333371232. Its totient is φ = 14657587200.

The previous prime is 51344298427. The next prime is 51344298449. The reversal of 51344298432 is 23489244315.

51344298432 is a `hidden beast` number, since 513 + 4 + 4 + 2 + 98 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5563582 + ... + 5572802.

Almost surely, 251344298432 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 51344298432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84166685616).

51344298432 is an abundant number, since it is smaller than the sum of its proper divisors (116989072800).

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

51344298432 is a wasteful number, since it uses less digits than its factorization.

51344298432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627 (or 10614 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 51344298432 in words is "fifty-one billion, three hundred forty-four million, two hundred ninety-eight thousand, four hundred thirty-two".