Search a number
-
+
12895972920 = 2332535822147
BaseRepresentation
bin11000000001010100…
…01110111000111000
31020021202001022010200
430000222032320320
5202402332113140
65531353242200
7634400650455
oct140052167070
936252038120
1012895972920
115518493366
1225baa03360
1312a697b20c
148a4a0a82c
15507254030
hex300a8ee38

12895972920 has 48 divisors (see below), whose sum is σ = 41911913160. Its totient is φ = 3438926016.

The previous prime is 12895972913. The next prime is 12895972927. The reversal of 12895972920 is 2927959821.

12895972920 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 597 + 29 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12895972913) and next prime (12895972927).

It is a super-2 number, since 2×128959729202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12895972927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17910714 + ... + 17911433.

Almost surely, 212895972920 is an apocalyptic number.

12895972920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12895972920 is an abundant number, since it is smaller than the sum of its proper divisors (29015940240).

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

12895972920 is a wasteful number, since it uses less digits than its factorization.

12895972920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35822164 (or 35822157 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 12895972920 in words is "twelve billion, eight hundred ninety-five million, nine hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 35822147 71644294 107466441 143288588 179110735 214932882 286577176 322399323 358221470 429865764 537332205 644798646 716442940 859731528 1074664410 1289597292 1432885880 1611996615 2149328820 2579194584 3223993230 4298657640 6447986460 12895972920