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12004695040 = 210513415383
BaseRepresentation
bin10110010111000100…
…10001110000000000
31010222121221200201211
423023202101300000
5144041200220130
65303114135504
7603326136622
oct131342216000
933877850654
1012004695040
115100379078
1223b0421594
131194119860
1481c4c0c12
154a3d9ba2a
hex2cb891c00

12004695040 has 352 divisors, whose sum is σ = 32758157376. Its totient is φ = 4191682560.

The previous prime is 12004695023. The next prime is 12004695041. The reversal of 12004695040 is 4059640021.

It is a super-2 number, since 2×120046950402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12004694993 and 12004695011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004695041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144634839 + ... + 144634921.

Almost surely, 212004695040 is an apocalyptic number.

12004695040 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 12004695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379078688).

12004695040 is an abundant number, since it is smaller than the sum of its proper divisors (20753462336).

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

12004695040 is a wasteful number, since it uses less digits than its factorization.

12004695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 12004695040 in words is "twelve billion, four million, six hundred ninety-five thousand, forty".