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12164081622 = 23711235321599
BaseRepresentation
bin10110101010000100…
…10010011111010110
31011101201212101000120
423111002102133112
5144403001102442
65331010252410
7610302662550
oct132502223726
934351771016
1012164081622
115182341620
122435887106
1311bb154044
148357304d0
154b2d824ec
hex2d50927d6

12164081622 has 128 divisors (see below), whose sum is σ = 32248627200. Its totient is φ = 2964973440.

The previous prime is 12164081543. The next prime is 12164081623. The reversal of 12164081622 is 22618046121.

It is a happy number.

12164081622 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164081623) 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 63 ways as a sum of consecutive naturals, for example, 552379 + ... + 573977.

It is an arithmetic number, because the mean of its divisors is an integer number (251942400).

Almost surely, 212164081622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12164081622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124313600).

12164081622 is an abundant number, since it is smaller than the sum of its proper divisors (20084545578).

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

12164081622 is a wasteful number, since it uses less digits than its factorization.

12164081622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21698.

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 12164081622 in words is "twelve billion, one hundred sixty-four million, eighty-one thousand, six hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 53 66 69 77 106 138 154 159 161 231 253 318 322 371 462 483 506 583 742 759 966 1113 1166 1219 1518 1749 1771 2226 2438 3498 3542 3657 4081 5313 7314 8162 8533 10626 12243 13409 17066 21599 24486 25599 26818 40227 43198 51198 64797 80454 93863 129594 151193 187726 237589 281589 302386 453579 475178 496777 563178 712767 907158 993554 1144747 1425534 1490331 1663123 2289494 2980662 3326246 3434241 3477439 4989369 5464547 6868482 6954878 8013229 9978738 10432317 10929094 12592217 16026458 16393641 20864634 24039687 25184434 26329181 32787282 37776651 38251829 48079374 52658362 75553302 76503658 78987543 88145519 114755487 157975086 176291038 184304267 229510974 264436557 289620991 368608534 528873114 552912801 579241982 868862973 1105825602 1737725946 2027346937 4054693874 6082040811 12164081622