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13821117672 = 233575879903
BaseRepresentation
bin11001101111100110…
…11000010011101000
31022200012212112011010
430313303120103220
5211301201231142
610203242303520
7666333363465
oct146763302350
938605775133
1013821117672
11595272a2aa
1228187b7ba0
1313c353994b
1495183066c
1555d59ae9c
hex337cd84e8

13821117672 has 16 divisors (see below), whose sum is σ = 34552794240. Its totient is φ = 4607039216.

The previous prime is 13821117637. The next prime is 13821117683. The reversal of 13821117672 is 27671112831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13821117672.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287939928 + ... + 287939975.

It is an arithmetic number, because the mean of its divisors is an integer number (2159549640).

Almost surely, 213821117672 is an apocalyptic number.

13821117672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13821117672 is an abundant number, since it is smaller than the sum of its proper divisors (20731676568).

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

13821117672 is a wasteful number, since it uses less digits than its factorization.

13821117672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575879912 (or 575879908 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The spelling of 13821117672 in words is "thirteen billion, eight hundred twenty-one million, one hundred seventeen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 575879903 1151759806 1727639709 2303519612 3455279418 4607039224 6910558836 13821117672