Search a number
-
+
51012797472 = 253271331371697
BaseRepresentation
bin101111100000100110…
…011000010000100000
311212200011120121120100
4233200212120100200
51313433234004342
635233541142400
73454100424030
oct574046302040
9155604517510
1051012797472
111a6a843785a
129a780baa00
134a6c83ab80
14267d04d8c0
1514d8752e4c
hexbe0998420

51012797472 has 576 divisors, whose sum is σ = 189397039104. Its totient is φ = 12660572160.

The previous prime is 51012797471. The next prime is 51012797483. The reversal of 51012797472 is 27479721015.

51012797472 is a `hidden beast` number, since 5 + 101 + 2 + 79 + 7 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (51012797471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30059728 + ... + 30061424.

It is an arithmetic number, because the mean of its divisors is an integer number (328814304).

Almost surely, 251012797472 is an apocalyptic number.

51012797472 is a gapful number since it is divisible by the number (52) 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 51012797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94698519552).

51012797472 is an abundant number, since it is smaller than the sum of its proper divisors (138384241632).

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

51012797472 is a wasteful number, since it uses less digits than its factorization.

51012797472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 51012797472 in words is "fifty-one billion, twelve million, seven hundred ninety-seven thousand, four hundred seventy-two".