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51326922240 = 2933511217192
BaseRepresentation
bin101111110011010100…
…101010111000000000
311220111001122210202000
4233303110222320000
51320104143002430
635325042024000
73464633432466
oct576324527000
9156431583660
1051326922240
111a849789400
129b45348000
134abc942b09
1426aca5c836
151506101e60
hexbf352ae00

51326922240 has 1440 divisors, whose sum is σ = 223942229280. Its totient is φ = 11094589440.

The previous prime is 51326922233. The next prime is 51326922247. The reversal of 51326922240 is 4222962315.

51326922240 is a `hidden beast` number, since 5 + 1 + 326 + 92 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (51326922233) and next prime (51326922247).

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 51326922195 and 51326922204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51326922247) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2701416951 + ... + 2701416969.

It is an arithmetic number, because the mean of its divisors is an integer number (155515437).

Almost surely, 251326922240 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 51326922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111971114640).

51326922240 is an abundant number, since it is smaller than the sum of its proper divisors (172615307040).

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

51326922240 is a wasteful number, since it uses less digits than its factorization.

51326922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 51326922240 in words is "fifty-one billion, three hundred twenty-six million, nine hundred twenty-two thousand, two hundred forty".