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13806322992 = 2435711107431
BaseRepresentation
bin11001101101110101…
…11100010100110000
31022122012000212200000
430312322330110300
5211233404313432
610201553230000
7666063544350
oct146672742460
938565025600
1013806322992
1159453448a0
122813862300
1313c04598b7
1494d89cb60
1555c12757c
hex336ebc530

13806322992 has 480 divisors, whose sum is σ = 50540765184. Its totient is φ = 3544300800.

The previous prime is 13806322979. The next prime is 13806322993. The reversal of 13806322992 is 29922360831.

It is a happy number.

13806322992 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 632 + 2 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×138063229922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13806322993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32033017 + ... + 32033447.

Almost surely, 213806322992 is an apocalyptic number.

13806322992 is a gapful number since it is divisible by the number (12) 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 13806322992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25270382592).

13806322992 is an abundant number, since it is smaller than the sum of its proper divisors (36734442192).

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

13806322992 is a wasteful number, since it uses less digits than its factorization.

13806322992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13806322992 in words is "thirteen billion, eight hundred six million, three hundred twenty-two thousand, nine hundred ninety-two".