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51332279040 = 28345770729
BaseRepresentation
bin101111110011101001…
…000110101100000000
311220111102201221220000
4233303221012230000
51320112030412130
635325352520000
73465030113130
oct576351065400
9156442657800
1051332279040
111a851808009
129b470b0000
134ac0a9a113
1426ad654ac0
15150680e260
hexbf3a46b00

51332279040 has 360 divisors, whose sum is σ = 209918718240. Its totient is φ = 11732926464.

The previous prime is 51332279027. The next prime is 51332279123. The reversal of 51332279040 is 4097223315.

51332279040 is a `hidden beast` number, since 51 + 332 + 279 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51332278986 and 51332279004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 690396 + ... + 761124.

Almost surely, 251332279040 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 51332279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104959359120).

51332279040 is an abundant number, since it is smaller than the sum of its proper divisors (158586439200).

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

51332279040 is an equidigital number, since it uses as much as digits as its factorization.

51332279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70769 (or 70746 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 51332279040 in words is "fifty-one billion, three hundred thirty-two million, two hundred seventy-nine thousand, forty".