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12934278900 = 22325221168111
BaseRepresentation
bin11000000101111000…
…10110111011110100
31020101102010110001200
430002330112323310
5202442133411100
65535242252500
7635344361634
oct140274267364
936342113050
1012934278900
1155380771a4
12260b7b7130
1312b18a098a
148a9b3c6c4
1550a7bde00
hex302f16ef4

12934278900 has 108 divisors (see below), whose sum is σ = 40734517824. Its totient is φ = 3432744000.

The previous prime is 12934278883. The next prime is 12934278901. The reversal of 12934278900 is 987243921.

12934278900 is a `hidden beast` number, since 1 + 293 + 4 + 278 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12934278901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155845 + ... + 223955.

Almost surely, 212934278900 is an apocalyptic number.

12934278900 is a gapful number since it is divisible by the number (10) 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 12934278900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367258912).

12934278900 is an abundant number, since it is smaller than the sum of its proper divisors (27800238924).

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

12934278900 is a wasteful number, since it uses less digits than its factorization.

12934278900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68342 (or 68332 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12934278900 in words is "twelve billion, nine hundred thirty-four million, two hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 211 225 300 422 450 633 844 900 1055 1266 1899 2110 2532 3165 3798 4220 5275 6330 7596 9495 10550 12660 15825 18990 21100 31650 37980 47475 63300 68111 94950 136222 189900 204333 272444 340555 408666 612999 681110 817332 1021665 1225998 1362220 1702775 2043330 2451996 3064995 3405550 4086660 5108325 6129990 6811100 10216650 12259980 14371421 15324975 20433300 28742842 30649950 43114263 57485684 61299900 71857105 86228526 129342789 143714210 172457052 215571315 258685578 287428420 359285525 431142630 517371156 646713945 718571050 862285260 1077856575 1293427890 1437142100 2155713150 2586855780 3233569725 4311426300 6467139450 12934278900