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13263228823 = 136176912393
BaseRepresentation
bin11000101101000110…
…01100111110010111
31021020100002211112011
430112203030332113
5204130341310243
610032033005051
7646450404415
oct142643147627
937210084464
1013263228823
115696824139
1226a19b3787
131334a967c0
148db6ca2b5
155295ea89d
hex3168ccf97

13263228823 has 16 divisors (see below), whose sum is σ = 14333318496. Its totient is φ = 12200348160.

The previous prime is 13263228731. The next prime is 13263228833. The reversal of 13263228823 is 32882236231.

It is a happy number.

It is not a de Polignac number, because 13263228823 - 29 = 13263228311 is a prime.

It is a super-3 number, since 3×132632288233 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13263228833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5541315 + ... + 5543707.

It is an arithmetic number, because the mean of its divisors is an integer number (895832406).

Almost surely, 213263228823 is an apocalyptic number.

13263228823 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13263228823 is a deficient number, since it is larger than the sum of its proper divisors (1070089673).

13263228823 is a wasteful number, since it uses less digits than its factorization.

13263228823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714.

The product of its digits is 165888, while the sum is 40.

The spelling of 13263228823 in words is "thirteen billion, two hundred sixty-three million, two hundred twenty-eight thousand, eight hundred twenty-three".

Divisors: 1 13 617 691 2393 8021 8983 31109 426347 1476481 1653563 5542511 19194253 21496319 1020248371 13263228823