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12193932852 = 22325916335221
BaseRepresentation
bin10110101101101000…
…01010011000110100
31011110211000222012200
423112310022120310
5144433121322402
65333554144500
7611114501433
oct132664123064
934424028180
1012193932852
115198180262
122443882130
1311c43a63aa
148396a111a
154b57cc21c
hex2d6d0a634

12193932852 has 72 divisors (see below), whose sum is σ = 31539187680. Its totient is φ = 3971125440.

The previous prime is 12193932827. The next prime is 12193932859. The reversal of 12193932852 is 25823939121.

It is a junction number, because it is equal to n+sod(n) for n = 12193932798 and 12193932807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12193932859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328602 + ... + 363822.

Almost surely, 212193932852 is an apocalyptic number.

12193932852 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 12193932852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769593840).

12193932852 is an abundant number, since it is smaller than the sum of its proper divisors (19345254828).

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

12193932852 is a wasteful number, since it uses less digits than its factorization.

12193932852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35453 (or 35448 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 12193932852 in words is "twelve billion, one hundred ninety-three million, nine hundred thirty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 163 177 236 326 354 489 531 652 708 978 1062 1467 1956 2124 2934 5868 9617 19234 28851 35221 38468 57702 70442 86553 105663 115404 140884 173106 211326 316989 346212 422652 633978 1267956 2078039 4156078 5741023 6234117 8312156 11482046 12468234 17223069 18702351 22964092 24936468 34446138 37404702 51669207 68892276 74809404 103338414 206676828 338720357 677440714 1016161071 1354881428 2032322142 3048483213 4064644284 6096966426 12193932852