Search a number
-
+
5046290565120 = 2113657269359
BaseRepresentation
bin100100101101110111001…
…0110110100100000000000
3122212102100122222111000000
41021123232112310200000
51130134300341040440
614422122304000000
71030403533034010
oct111335626644000
918772318874000
105046290565120
111676135516252
12696008600000
132a7b2b488abc
1413635559bc40
158b3eb5d9730
hex496ee5b4800

5046290565120 has 1344 divisors, whose sum is σ = 20882455776000. Its totient is φ = 1145948995584.

The previous prime is 5046290565047. The next prime is 5046290565131. The reversal of 5046290565120 is 215650926405.

5046290565120 is a `hidden beast` number, since 5 + 0 + 4 + 62 + 9 + 0 + 565 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×50462905651202 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14056519501 + ... + 14056519859.

It is an arithmetic number, because the mean of its divisors is an integer number (15537541500).

Almost surely, 25046290565120 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 5046290565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441227888000).

5046290565120 is an abundant number, since it is smaller than the sum of its proper divisors (15836165210880).

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

5046290565120 is an equidigital number, since it uses as much as digits as its factorization.

5046290565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 5046290565120 in words is "five trillion, forty-six billion, two hundred ninety million, five hundred sixty-five thousand, one hundred twenty".