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2295138779136 = 21535741177
BaseRepresentation
bin100001011001100000111…
…011101000000000000000
322010102011011112021100000
4201121200323220000000
5300100421011413021
64514212221200000
7324550451510010
oct41314073500000
98112134467300
102295138779136
118053aa008985
12310991400000
1313857a204b18
147d12a137c40
153ea7d9e9b26
hex21660ee8000

2295138779136 has 384 divisors, whose sum is σ = 7858323869760. Its totient is φ = 655738011648.

The previous prime is 2295138779117. The next prime is 2295138779147. The reversal of 2295138779136 is 6319778315922.

2295138779136 is a `hidden beast` number, since 2 + 2 + 9 + 51 + 387 + 79 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55717780 + ... + 55758956.

Almost surely, 22295138779136 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 2295138779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929161934880).

2295138779136 is an abundant number, since it is smaller than the sum of its proper divisors (5563185090624).

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

2295138779136 is an frugal number, since it uses more digits than its factorization.

2295138779136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41229 (or 41189 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 2295138779136 in words is "two trillion, two hundred ninety-five billion, one hundred thirty-eight million, seven hundred seventy-nine thousand, one hundred thirty-six".