Search a number
-
+
2775265025130 = 232513192931138869
BaseRepresentation
bin101000011000101010101…
…011111001110001101010
3100211022102222202200021100
4220120222223321301222
5330432220321301010
65522534505022230
7404335440326523
oct50305253716152
910738388680240
102775265025130
1197aa8a834894
12389a46784976
13171924b7ab30
1498475b3984a
154c2ce9ed2c0
hex2862aaf9c6a

2775265025130 has 384 divisors, whose sum is σ = 8734811904000. Its totient is φ = 604709038080.

The previous prime is 2775265025119. The next prime is 2775265025153. The reversal of 2775265025130 is 315205625772.

2775265025130 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 2 + 6 + 502 + 5 + 130 = 666.

2775265025130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 19915336 + ... + 20054204.

It is an arithmetic number, because the mean of its divisors is an integer number (22746906000).

Almost surely, 22775265025130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2775265025130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367405952000).

2775265025130 is an abundant number, since it is smaller than the sum of its proper divisors (5959546878870).

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

2775265025130 is a wasteful number, since it uses less digits than its factorization.

2775265025130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138974 (or 138971 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 2775265025130 in words is "two trillion, seven hundred seventy-five billion, two hundred sixty-five million, twenty-five thousand, one hundred thirty".