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51424443720 = 233251329378901
BaseRepresentation
bin101111111001001000…
…101011110101001000
311220201212011102001200
4233321020223311020
51320304124144340
635342444144200
73500226362616
oct577110536510
9156655142050
1051424443720
111a899837771
129b71b38060
134b06bc9430
1426bb9a66b6
15150e967330
hexbf922bd48

51424443720 has 192 divisors, whose sum is σ = 186192442800. Its totient is φ = 12221798400.

The previous prime is 51424443649. The next prime is 51424443731. The reversal of 51424443720 is 2734442415.

51424443720 is a `hidden beast` number, since 5 + 142 + 4 + 443 + 72 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30638301444 + 20786142276 = 175038^2 + 144174^2 .

It is a super-2 number, since 2×514244437202 (a number of 22 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 53731 + ... + 325170.

Almost surely, 251424443720 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 51424443720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93096221400).

51424443720 is an abundant number, since it is smaller than the sum of its proper divisors (134767999080).

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

51424443720 is a wasteful number, since it uses less digits than its factorization.

51424443720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378960 (or 378953 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 51424443720 in words is "fifty-one billion, four hundred twenty-four million, four hundred forty-three thousand, seven hundred twenty".