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13369222368 = 25351719293
BaseRepresentation
bin11000111001101111…
…00010010011100000
31021111201112212100000
430130313202103200
5204340010103433
610050340500000
7652205341455
oct143467422340
937451485300
1013369222368
115740639707
1227113aa600
131350a28388
1490b7db82c
15533a86113
hex31cde24e0

13369222368 has 72 divisors (see below), whose sum is σ = 39426850008. Its totient is φ = 4456404864.

The previous prime is 13369222357. The next prime is 13369222429. The reversal of 13369222368 is 86322296331.

13369222368 is a `hidden beast` number, since 1 + 3 + 3 + 69 + 222 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×133692223682 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 851871 + ... + 867422.

It is an arithmetic number, because the mean of its divisors is an integer number (547595139).

Almost surely, 213369222368 is an apocalyptic number.

13369222368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13369222368 is an abundant number, since it is smaller than the sum of its proper divisors (26057627640).

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

13369222368 is an equidigital number, since it uses as much as digits as its factorization.

13369222368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719318 (or 1719298 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 13369222368 in words is "thirteen billion, three hundred sixty-nine million, two hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 1719293 3438586 5157879 6877172 10315758 13754344 15473637 20631516 27508688 30947274 41263032 46420911 55017376 61894548 82526064 92841822 123789096 139262733 165052128 185683644 247578192 278525466 371367288 417788199 495156384 557050932 742734576 835576398 1114101864 1485469152 1671152796 2228203728 3342305592 4456407456 6684611184 13369222368