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13734705435 = 3511372249747
BaseRepresentation
bin11001100101010011…
…01111100100011011
31022110012021022211220
430302221233210123
5211112041033220
610150514223123
7664234032663
oct146251574433
938405238756
1013734705435
115908979530
1227b3884aa3
1313ab672a49
149441791a3
15555bcc540
hex332a6f91b

13734705435 has 32 divisors (see below), whose sum is σ = 24621242112. Its totient is φ = 6479268480.

The previous prime is 13734705407. The next prime is 13734705487. The reversal of 13734705435 is 53450743731.

It is a happy number.

It is not a de Polignac number, because 13734705435 - 211 = 13734703387 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118769 + ... + 1130978.

It is an arithmetic number, because the mean of its divisors is an integer number (769413816).

Almost surely, 213734705435 is an apocalyptic number.

13734705435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13734705435 is a deficient number, since it is larger than the sum of its proper divisors (10886536677).

13734705435 is a wasteful number, since it uses less digits than its factorization.

13734705435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249803.

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 13734705435 in words is "thirteen billion, seven hundred thirty-four million, seven hundred five thousand, four hundred thirty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 407 555 1221 2035 6105 2249747 6749241 11248735 24747217 33746205 74241651 83240639 123736085 249721917 371208255 416203195 915647029 1248609585 2746941087 4578235145 13734705435