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13764752112 = 2435321125643
BaseRepresentation
bin11001101000111000…
…10111001011110000
31022112021210212010210
430310130113023300
5211142234031422
610153510224120
7665050314426
oct146434271360
938467725123
1013764752112
115923930aa1
122801955040
1313b4963047
1494815b116
1555866510c
hex3347172f0

13764752112 has 80 divisors (see below), whose sum is σ = 36402991488. Its totient is φ = 4480170240.

The previous prime is 13764752107. The next prime is 13764752129. The reversal of 13764752112 is 21125746731.

13764752112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523963 + ... + 549605.

Almost surely, 213764752112 is an apocalyptic number.

13764752112 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 13764752112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201495744).

13764752112 is an abundant number, since it is smaller than the sum of its proper divisors (22638239376).

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

13764752112 is a wasteful number, since it uses less digits than its factorization.

13764752112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25918 (or 25912 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The spelling of 13764752112 in words is "thirteen billion, seven hundred sixty-four million, seven hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 211 212 318 422 424 633 636 844 848 1266 1272 1688 2532 2544 3376 5064 10128 11183 22366 25643 33549 44732 51286 67098 76929 89464 102572 134196 153858 178928 205144 268392 307716 410288 536784 615432 1230864 1359079 2718158 4077237 5410673 5436316 8154474 10821346 10872632 16232019 16308948 21642692 21745264 32464038 32617896 43285384 64928076 65235792 86570768 129856152 259712304 286765669 573531338 860297007 1147062676 1720594014 2294125352 3441188028 4588250704 6882376056 13764752112