Search a number
-
+
5055256673640 = 233251031062712829
BaseRepresentation
bin100100110010000010011…
…0001110011110101101000
3122220021111112021222122100
41021210010301303311220
51130311131202024030
614430204114453400
71031141654511045
oct111440461636550
918807445258570
105055256673640
111679a16669298
126978ab294260
132a8929c00a64
141369662b01cc
158b77381e360
hex49904c73d68

5055256673640 has 192 divisors, whose sum is σ = 16591948963200. Its totient is φ = 1334750731776.

The previous prime is 5055256673629. The next prime is 5055256673651. The reversal of 5055256673640 is 463766525505.

5055256673640 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 2 + 566 + 7 + 36 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5055256673629) and next prime (5055256673651).

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, 394042746 + ... + 394055574.

It is an arithmetic number, because the mean of its divisors is an integer number (86416400850).

Almost surely, 25055256673640 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 5055256673640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295974481600).

5055256673640 is an abundant number, since it is smaller than the sum of its proper divisors (11536692289560).

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

5055256673640 is a wasteful number, since it uses less digits than its factorization.

5055256673640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23576 (or 23569 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 5055256673640 in words is "five trillion, fifty-five billion, two hundred fifty-six million, six hundred seventy-three thousand, six hundred forty".