Search a number
-
+
51298168320 = 29345759599
BaseRepresentation
bin101111110001100110…
…111110111000000000
311220102001112221210000
4233301212332320000
51320024312341240
635322133440000
73464134144020
oct576146767000
9156361487700
1051298168320
111a83452a133
129b377a0000
134ab69b6069
1426a8cd5a80
151503822430
hexbf19bee00

51298168320 has 800 divisors, whose sum is σ = 213897024000. Its totient is φ = 11507318784.

The previous prime is 51298168309. The next prime is 51298168333. The reversal of 51298168320 is 2386189215.

51298168320 is a `hidden beast` number, since 512 + 98 + 16 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 85639381 + ... + 85639979.

It is an arithmetic number, because the mean of its divisors is an integer number (267371280).

Almost surely, 251298168320 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 51298168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106948512000).

51298168320 is an abundant number, since it is smaller than the sum of its proper divisors (162598855680).

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

51298168320 is an equidigital number, since it uses as much as digits as its factorization.

51298168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 51298168320 in words is "fifty-one billion, two hundred ninety-eight million, one hundred sixty-eight thousand, three hundred twenty".