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2312583006048 = 2537231831571217
BaseRepresentation
bin100001101001110000101…
…100000100011101100000
322012002011212220211000020
4201221300230010131200
5300342132222143143
64530215211353440
7326035651134300
oct41516054043540
98162155824006
102312583006048
118118408aa837
1231423b452880
1313a0ca253293
147dd02c11600
15402501be883
hex21a70b04760

2312583006048 has 576 divisors, whose sum is σ = 7430345975808. Its totient is φ = 627180503040.

The previous prime is 2312583006043. The next prime is 2312583006061. The reversal of 2312583006048 is 8406003852132.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312583006043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1900231936 + ... + 1900233152.

It is an arithmetic number, because the mean of its divisors is an integer number (12899906208).

Almost surely, 22312583006048 is an apocalyptic number.

2312583006048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312583006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715172987904).

2312583006048 is an abundant number, since it is smaller than the sum of its proper divisors (5117762969760).

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

2312583006048 is a wasteful number, since it uses less digits than its factorization.

2312583006048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 2312583006048 in words is "two trillion, three hundred twelve billion, five hundred eighty-three million, six thousand, forty-eight".