Search a number
-
+
2275269083136 = 216327737549
BaseRepresentation
bin100001000111000000100…
…110110000000000000000
322001111212102012010120100
4201013000212300000000
5244234222341130021
64501124424442400
7323245201051110
oct41070046600000
98044772163510
102275269083136
117a7a33099215
12308b67019400
1313673182115a
147c1a3291040
153e2b941c626
hex211c09b0000

2275269083136 has 408 divisors, whose sum is σ = 7615854240800. Its totient is φ = 641086783488.

The previous prime is 2275269083119. The next prime is 2275269083137. The reversal of 2275269083136 is 6313809625722.

2275269083136 is a `hidden beast` number, since 2 + 2 + 7 + 526 + 9 + 0 + 83 + 1 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (2275269083137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301396290 + ... + 301403838.

Almost surely, 22275269083136 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 2275269083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807927120400).

2275269083136 is an abundant number, since it is smaller than the sum of its proper divisors (5340585157664).

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

2275269083136 is an frugal number, since it uses more digits than its factorization.

2275269083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7667 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2275269083136 in words is "two trillion, two hundred seventy-five billion, two hundred sixty-nine million, eighty-three thousand, one hundred thirty-six".