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13655433800 = 235282632
BaseRepresentation
bin11001011011110110…
…10110001001001000
31022020200002220121102
430231323112021020
5210431242340200
610135003200532
7662252162231
oct145573261110
938220086542
1013655433800
115878155588
122791216148
131398109058
14937822088
1554dc6e6d5
hex32ded6248

13655433800 has 36 divisors (see below), whose sum is σ = 31752726345. Its totient is φ = 5461512480.

The previous prime is 13655433773. The next prime is 13655433833. The reversal of 13655433800 is 833455631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13655433800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13382325124 + 273108676 = 115682^2 + 16526^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=82630.

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 8 ways as a sum of consecutive naturals, for example, 1648469 + ... + 1656731.

Almost surely, 213655433800 is an apocalyptic number.

13655433800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13655433800 is an abundant number, since it is smaller than the sum of its proper divisors (18097292545).

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

13655433800 is an frugal number, since it uses more digits than its factorization.

13655433800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16542 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 13655433800 in words is "thirteen billion, six hundred fifty-five million, four hundred thirty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 8263 16526 33052 41315 66104 82630 165260 206575 330520 413150 826300 1652600 68277169 136554338 273108676 341385845 546217352 682771690 1365543380 1706929225 2731086760 3413858450 6827716900 13655433800