Search a number
-
+
361990096182 = 23211132312374943
BaseRepresentation
bin1010100010010000100…
…10101000010100110110
31021121100201020012020100
411101020102220110312
521412323431034212
6434143532014530
735103311022621
oct5211022502466
91247321205210
10361990096182
1112a578a77050
125a1a5901446
132819b9762b0
1413740032db8
1596399b9bdc
hex54484a8536

361990096182 has 192 divisors, whose sum is σ = 962463430656. Its totient is φ = 96755662080.

The previous prime is 361990096151. The next prime is 361990096183. The reversal of 361990096182 is 281690099163.

361990096182 is a `hidden beast` number, since 3 + 6 + 19 + 9 + 0 + 0 + 9 + 618 + 2 = 666.

It is a super-2 number, since 2×3619900961822 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361990096183) 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, 73230403 + ... + 73235345.

It is an arithmetic number, because the mean of its divisors is an integer number (5012830368).

Almost surely, 2361990096182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361990096182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481231715328).

361990096182 is an abundant number, since it is smaller than the sum of its proper divisors (600473334474).

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

361990096182 is a wasteful number, since it uses less digits than its factorization.

361990096182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 361990096182 in words is "three hundred sixty-one billion, nine hundred ninety million, ninety-six thousand, one hundred eighty-two".