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51325387344 = 243371117219281
BaseRepresentation
bin101111110011001110…
…110100001001010000
311220110221202211021000
4233303032310021100
51320103244343334
635324545102000
73464614410540
oct576316641120
9156427684230
1051325387344
111a8489301a0
129b44927900
134abc5262aa
1426ac77d320
151505dec299
hexbf33b4250

51325387344 has 960 divisors, whose sum is σ = 206115379200. Its totient is φ = 11844403200.

The previous prime is 51325387343. The next prime is 51325387387. The reversal of 51325387344 is 44378352315.

51325387344 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 538 + 73 + 44 = 666.

51325387344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51325387344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51325387343) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182652484 + ... + 182652764.

It is an arithmetic number, because the mean of its divisors is an integer number (214703520).

Almost surely, 251325387344 is an apocalyptic number.

51325387344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51325387344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103057689600).

51325387344 is an abundant number, since it is smaller than the sum of its proper divisors (154789991856).

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

51325387344 is a wasteful number, since it uses less digits than its factorization.

51325387344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 340 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 51325387344 in words is "fifty-one billion, three hundred twenty-five million, three hundred eighty-seven thousand, three hundred forty-four".