Search a number
-
+
12946922424 = 23321713078093
BaseRepresentation
bin11000000111011001…
…00101101110111000
31020102021220210201100
430003230211232320
5203003403004144
65540413251400
7635560011342
oct140354455670
936367823640
1012946922424
115544222497
122613a93b60
1312b43a9857
148ab6b0292
1550b96a269
hex303b25bb8

12946922424 has 96 divisors (see below), whose sum is σ = 37160201520. Its totient is φ = 4058170368.

The previous prime is 12946922423. The next prime is 12946922489. The reversal of 12946922424 is 42422964921.

It is a happy number.

12946922424 is a `hidden beast` number, since 129 + 469 + 22 + 42 + 4 = 666.

12946922424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12946922424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12946922423) 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 23 ways as a sum of consecutive naturals, for example, 1595722 + ... + 1603814.

Almost surely, 212946922424 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 12946922424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580100760).

12946922424 is an abundant number, since it is smaller than the sum of its proper divisors (24213279096).

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

12946922424 is a wasteful number, since it uses less digits than its factorization.

12946922424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429 (or 9422 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 12946922424 in words is "twelve billion, nine hundred forty-six million, nine hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1307 2614 3921 5228 7842 8093 10456 11763 15684 16186 22219 23526 24279 31368 32372 44438 47052 48558 64744 66657 72837 88876 94104 97116 133314 137581 145674 177752 194232 199971 266628 275162 291348 399942 412743 533256 550324 582696 799884 825486 1100648 1238229 1599768 1650972 2476458 3301944 4952916 9905832 10577551 21155102 31732653 42310204 63465306 84620408 95197959 126930612 179818367 190395918 253861224 359636734 380791836 539455101 719273468 761583672 1078910202 1438546936 1618365303 2157820404 3236730606 4315640808 6473461212 12946922424