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12082184296 = 23713148711161
BaseRepresentation
bin10110100000010011…
…11000000001101000
31011012000202120000021
423100021320001220
5144221014344141
65314523050224
7605256605050
oct132011700150
934160676007
1012082184296
115140094986
122412370974
1311a71ab1a0
148288d2560
154aaaa66d1
hex2d0278068

12082184296 has 64 divisors (see below), whose sum is σ = 27903214080. Its totient is φ = 4776122880.

The previous prime is 12082184293. The next prime is 12082184299. The reversal of 12082184296 is 69248128021.

It is an interprime number because it is at equal distance from previous prime (12082184293) and next prime (12082184299).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12082184293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076956 + ... + 1088116.

It is an arithmetic number, because the mean of its divisors is an integer number (435987720).

Almost surely, 212082184296 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 12082184296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951607040).

12082184296 is an abundant number, since it is smaller than the sum of its proper divisors (15821029784).

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

12082184296 is a wasteful number, since it uses less digits than its factorization.

12082184296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12674 (or 12670 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 12082184296 in words is "twelve billion, eighty-two million, one hundred eighty-four thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1487 2974 5948 10409 11161 11896 19331 20818 22322 38662 41636 44644 77324 78127 83272 89288 135317 145093 154648 156254 270634 290186 312508 541268 580372 625016 1015651 1082536 1160744 2031302 4062604 8125208 16596407 33192814 66385628 116174849 132771256 215753291 232349698 431506582 464699396 863013164 929398792 1510273037 1726026328 3020546074 6041092148 12082184296