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12355334056 = 2313475474621
BaseRepresentation
bin10111000000110111…
…10110111110101000
31011220001202000001001
423200123312332220
5200300431142211
65402001404344
7615114415042
oct134033667650
934801660031
1012355334056
11527029a38a
1224899396b4
13121b967870
14852cb6a92
154c4a5eac1
hex2e06f6fa8

12355334056 has 64 divisors (see below), whose sum is σ = 25531188480. Its totient is φ = 5569724160.

The previous prime is 12355333981. The next prime is 12355334063. The reversal of 12355334056 is 65043355321.

It is a super-2 number, since 2×123553340562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2671426 + ... + 2676046.

It is an arithmetic number, because the mean of its divisors is an integer number (398924820).

Almost surely, 212355334056 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 12355334056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765594240).

12355334056 is an abundant number, since it is smaller than the sum of its proper divisors (13175854424).

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

12355334056 is a wasteful number, since it uses less digits than its factorization.

12355334056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

Adding to 12355334056 its reverse (65043355321), we get a palindrome (77398689377).

It can be divided in two parts, 123553 and 34056, that added together give a square (157609 = 3972).

The spelling of 12355334056 in words is "twelve billion, three hundred fifty-five million, three hundred thirty-four thousand, fifty-six".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 547 611 1094 1222 2188 2444 4376 4621 4888 7111 9242 14222 18484 25709 28444 36968 51418 56888 60073 102836 120146 205672 217187 240292 334217 434374 480584 668434 868748 1336868 1737496 2527687 2673736 2823431 5055374 5646862 10110748 11293724 20221496 22587448 32859931 65719862 118801289 131439724 237602578 262879448 475205156 950410312 1544416757 3088833514 6177667028 12355334056