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12405006966 = 2311772324337
BaseRepresentation
bin10111000110110010…
…10110001001110110
31012000112012122110110
423203121112021312
5200401140210331
65410534203450
7616256551032
oct134331261166
935015178413
1012405006966
115296337380
1224a24b3586
13122903a111
148597271c2
154c90c2946
hex2e3656276

12405006966 has 32 divisors (see below), whose sum is σ = 27070086528. Its totient is φ = 3758451840.

The previous prime is 12405006961. The next prime is 12405007007. The reversal of 12405006966 is 66960050421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12405006961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497550 + ... + 521886.

It is an arithmetic number, because the mean of its divisors is an integer number (845940204).

Almost surely, 212405006966 is an apocalyptic number.

12405006966 is an abundant number, since it is smaller than the sum of its proper divisors (14665079562).

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

12405006966 is a wasteful number, since it uses less digits than its factorization.

12405006966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32076.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 12405006966 in words is "twelve billion, four hundred five million, six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 7723 15446 23169 24337 46338 48674 73011 84953 146022 169906 254859 267707 509718 535414 803121 1606242 187954651 375909302 563863953 1127727906 2067501161 4135002322 6202503483 12405006966