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12084706530 = 232513173716421
BaseRepresentation
bin10110100000100110…
…11111110011100010
31011012012111200212100
423100103133303202
5144222141102110
65315053111230
7605320211361
oct132023376342
934165450770
1012084706530
115141557976
122413188516
1311a7882230
14828d8b7d8
154aae03bc0
hex2d04dfce2

12084706530 has 192 divisors, whose sum is σ = 36798154848. Its totient is φ = 2723880960.

The previous prime is 12084706457. The next prime is 12084706531. The reversal of 12084706530 is 3560748021.

12084706530 is a `hidden beast` number, since 120 + 8 + 470 + 65 + 3 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 301821129 + 11782885401 = 17373^2 + 108549^2 .

It is not an unprimeable number, because it can be changed into a prime (12084706531) 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, 727720 + ... + 744140.

Almost surely, 212084706530 is an apocalyptic number.

12084706530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084706530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399077424).

12084706530 is an abundant number, since it is smaller than the sum of its proper divisors (24713448318).

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

12084706530 is a wasteful number, since it uses less digits than its factorization.

12084706530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16501 (or 16498 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12084706530 in words is "twelve billion, eighty-four million, seven hundred six thousand, five hundred thirty".