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12435873372 = 22321390729297
BaseRepresentation
bin10111001010011110…
…00101111001011100
31012002200021211012200
423211033011321130
5200432040421442
65413555531500
7620113115406
oct134517057134
935080254180
1012435873372
1153017a97aa
1224b08b9b90
131232556570
1485d87db76
154cbb6d34c
hex2e53c5e5c

12435873372 has 72 divisors (see below), whose sum is σ = 33891692016. Its totient is φ = 3822073344.

The previous prime is 12435873349. The next prime is 12435873379. The reversal of 12435873372 is 27337853421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435873379) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 409828 + ... + 439124.

Almost surely, 212435873372 is an apocalyptic number.

12435873372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12435873372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945846008).

12435873372 is an abundant number, since it is smaller than the sum of its proper divisors (21455818644).

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

12435873372 is a wasteful number, since it uses less digits than its factorization.

12435873372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30227 (or 30222 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 12435873372 in words is "twelve billion, four hundred thirty-five million, eight hundred seventy-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 907 1814 2721 3628 5442 8163 10884 11791 16326 23582 29297 32652 35373 47164 58594 70746 87891 106119 117188 141492 175782 212238 263673 351564 380861 424476 527346 761722 1054692 1142583 1523444 2285166 3427749 4570332 6855498 13710996 26572379 53144758 79717137 106289516 159434274 239151411 318868548 345440927 478302822 690881854 956605644 1036322781 1381763708 2072645562 3108968343 4145291124 6217936686 12435873372