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12426233023206 = 23217832100123297
BaseRepresentation
bin1011010011010011010100…
…1101001000101011100110
31121222221021112201010110100
42310310311031020223212
53112042411123220311
642232311015004530
72421523431642522
oct264646515105346
947887245633410
1012426233023206
113a60a32654872
121488354369746
136c1a33b4b962
1430d60bbb2d82
1516837c89ba56
hexb4d35348ae6

12426233023206 has 96 divisors (see below), whose sum is σ = 28853313416928. Its totient is φ = 3851108352000.

The previous prime is 12426233023153. The next prime is 12426233023261. The reversal of 12426233023206 is 60232033262421.

12426233023206 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 6 + 23 + 302 + 320 + 6 = 666.

12426233023206 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 2×124262330232062 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533371750 + ... + 533395046.

It is an arithmetic number, because the mean of its divisors is an integer number (300555348093).

Almost surely, 212426233023206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12426233023206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426656708464).

12426233023206 is an abundant number, since it is smaller than the sum of its proper divisors (16427080393722).

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

12426233023206 is a wasteful number, since it uses less digits than its factorization.

12426233023206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44406 (or 44403 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 12426233023206 its reverse (60232033262421), we get a palindrome (72658266285627).

The spelling of 12426233023206 in words is "twelve trillion, four hundred twenty-six billion, two hundred thirty-three million, twenty-three thousand, two hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 747 1411 1494 2822 4233 8466 12699 21001 23297 25398 42002 46594 63003 69891 126006 139782 189009 209673 357017 378018 396049 419346 714034 792098 1071051 1188147 1743083 1933651 2142102 2376294 3213153 3486166 3564441 3867302 5229249 5800953 6426306 7128882 10458498 11601906 15687747 17402859 29632411 31375494 32872067 34805718 59264822 65744134 88897233 98616201 177794466 197232402 266691699 295848603 489260297 533383398 591697206 978520594 1467780891 2935561782 4403342673 8317425049 8806685346 16634850098 24952275147 40608604651 49904550294 74856825441 81217209302 121825813953 149713650882 243651627906 365477441859 690346279067 730954883718 1380692558134 2071038837201 4142077674402 6213116511603 12426233023206