Search a number
-
+
12320055672 = 23333111231381
BaseRepresentation
bin10110111100101010…
…10010000101111000
31011210121100200012020
423132111102011320
5200212413240142
65354301314440
7614205513441
oct133625220570
934717320166
1012320055672
1152523941a1
122479b65a20
131214565192
1484c3322c8
154c18e1cec
hex2de552178

12320055672 has 64 divisors (see below), whose sum is σ = 30943090560. Its totient is φ = 4087670400.

The previous prime is 12320055661. The next prime is 12320055679. The reversal of 12320055672 is 27655002321.

12320055672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123200556722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320055679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8920422 + ... + 8921802.

It is an arithmetic number, because the mean of its divisors is an integer number (483485790).

Almost surely, 212320055672 is an apocalyptic number.

12320055672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12320055672 is an abundant number, since it is smaller than the sum of its proper divisors (18623034888).

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

12320055672 is a wasteful number, since it uses less digits than its factorization.

12320055672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 12320055672 its reverse (27655002321), we get a palindrome (39975057993).

The spelling of 12320055672 in words is "twelve billion, three hundred twenty million, fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 331 662 993 1123 1324 1381 1986 2246 2648 2762 3369 3972 4143 4492 5524 6738 7944 8286 8984 11048 13476 16572 26952 33144 371713 457111 743426 914222 1115139 1371333 1486852 1550863 1828444 2230278 2742666 2973704 3101726 3656888 4460556 4652589 5485332 6203452 8921112 9305178 10970664 12406904 18610356 37220712 513335653 1026671306 1540006959 2053342612 3080013918 4106685224 6160027836 12320055672