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2255096131470 = 23257313234159101
BaseRepresentation
bin100000110100001110001…
…101000010111110001110
321222120210112020000020100
4200310032031002332032
5243421414102201340
64443551000231530
7321632245563000
oct40641615027616
97876715200210
102255096131470
1179a420a81036
1230507716b5a6
1313486836c870
147b20c028370
153d9d83db830
hex20d0e342f8e

2255096131470 has 1536 divisors, whose sum is σ = 8083805184000. Its totient is φ = 432165888000.

The previous prime is 2255096131451. The next prime is 2255096131471. The reversal of 2255096131470 is 741316905522.

2255096131470 is a `hidden beast` number, since 2 + 2 + 5 + 509 + 6 + 131 + 4 + 7 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255096131471) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 22327684420 + ... + 22327684520.

It is an arithmetic number, because the mean of its divisors is an integer number (5262894000).

Almost surely, 22255096131470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255096131470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041902592000).

2255096131470 is an abundant number, since it is smaller than the sum of its proper divisors (5828709052530).

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

2255096131470 is a wasteful number, since it uses less digits than its factorization.

2255096131470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 2255096131470 in words is "two trillion, two hundred fifty-five billion, ninety-six million, one hundred thirty-one thousand, four hundred seventy".