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13734949360 = 2451115607897
BaseRepresentation
bin11001100101010101…
…01011000111110000
31022110012201201110011
430302222223013300
5211112121334420
610150523344304
7664236100066
oct146252530760
938405651404
1013734949360
115909025820
1227b3982094
1313ab729a92
14944200036
15555c2995a
hex332aab1f0

13734949360 has 40 divisors (see below), whose sum is σ = 34836828336. Its totient is φ = 4994526720.

The previous prime is 13734949351. The next prime is 13734949381. The reversal of 13734949360 is 6394943731.

13734949360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 7803069 + ... + 7804828.

Almost surely, 213734949360 is an apocalyptic number.

13734949360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13734949360 is an abundant number, since it is smaller than the sum of its proper divisors (21101878976).

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

13734949360 is a wasteful number, since it uses less digits than its factorization.

13734949360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15607921 (or 15607915 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 49.

The spelling of 13734949360 in words is "thirteen billion, seven hundred thirty-four million, nine hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 15607897 31215794 62431588 78039485 124863176 156078970 171686867 249726352 312157940 343373734 624315880 686747468 858434335 1248631760 1373494936 1716868670 2746989872 3433737340 6867474680 13734949360