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12432683196 = 2234591394679
BaseRepresentation
bin10111001010000101…
…11011000010111100
31012002110021202010000
423211002323002330
5200430231330241
65413403314300
7620044030533
oct134502730274
935073252100
1012432683196
1152aaa1a99a
1224ab81b990
1312319aa49b
1485d28d31a
154cb73ceb6
hex2e50bb0bc

12432683196 has 120 divisors (see below), whose sum is σ = 33297264000. Its totient is φ = 4043812896.

The previous prime is 12432683113. The next prime is 12432683201. The reversal of 12432683196 is 69138623421.

12432683196 is a `hidden beast` number, since 1 + 2 + 4 + 326 + 8 + 319 + 6 = 666.

12432683196 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 2×124326831962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2654785 + ... + 2659463.

It is an arithmetic number, because the mean of its divisors is an integer number (277477200).

Almost surely, 212432683196 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 12432683196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648632000).

12432683196 is an abundant number, since it is smaller than the sum of its proper divisors (20864580804).

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

12432683196 is a wasteful number, since it uses less digits than its factorization.

12432683196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893 (or 4882 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12432683196 in words is "twelve billion, four hundred thirty-two million, six hundred eighty-three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 139 162 177 236 278 324 354 417 531 556 708 834 1062 1251 1593 1668 2124 2502 3186 3753 4679 4779 5004 6372 7506 8201 9358 9558 11259 14037 15012 16402 18716 19116 22518 24603 28074 32804 42111 45036 49206 56148 73809 84222 98412 126333 147618 168444 221427 252666 276061 295236 378999 442854 505332 552122 650381 664281 757998 828183 885708 1104244 1300762 1328562 1515996 1656366 1951143 2484549 2601524 2657124 3312732 3902286 4969098 5853429 7453647 7804572 9938196 11706858 14907294 17560287 22360941 23413716 29814588 35120574 38372479 44721882 52680861 70241148 76744958 89443764 105361722 115117437 153489916 210723444 230234874 345352311 460469748 690704622 1036056933 1381409244 2072113866 3108170799 4144227732 6216341598 12432683196