Search a number
-
+
2255297366736 = 243231674945307
BaseRepresentation
bin100000110100011010001…
…100101100101011010000
321222121022112212211010100
4200310122030230223100
5243422322111213421
64444022545332400
7321640241213511
oct40643214545320
97877275784110
102255297366736
1179a514628077
12305112637100
1313489ac6a19b
147b22aa4ca08
153d9eaddbc26
hex20d1a32cad0

2255297366736 has 60 divisors (see below), whose sum is σ = 6313694504832. Its totient is φ = 751528262208.

The previous prime is 2255297366731. The next prime is 2255297366737. The reversal of 2255297366736 is 6376637925522.

It is a happy number.

2255297366736 is a `hidden beast` number, since 2 + 2 + 5 + 529 + 7 + 36 + 6 + 73 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255297366731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2016606 + ... + 2928701.

Almost surely, 22255297366736 is an apocalyptic number.

It is an amenable number.

2255297366736 is an abundant number, since it is smaller than the sum of its proper divisors (4058397138096).

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

2255297366736 is a wasteful number, since it uses less digits than its factorization.

2255297366736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948488 (or 4948479 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 63.

The spelling of 2255297366736 in words is "two trillion, two hundred fifty-five billion, two hundred ninety-seven million, three hundred sixty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3167 6334 9501 12668 19002 25336 28503 38004 50672 57006 76008 114012 152016 228024 456048 4945307 9890614 14835921 19781228 29671842 39562456 44507763 59343684 79124912 89015526 118687368 178031052 237374736 356062104 712124208 15661787269 31323574538 46985361807 62647149076 93970723614 125294298152 140956085421 187941447228 250588596304 281912170842 375882894456 563824341684 751765788912 1127648683368 2255297366736