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13332869352 = 2333115611477
BaseRepresentation
bin11000110101011001…
…10111000011101000
31021102012010221101000
430122230313003220
5204301203304402
610043001355000
7651254343135
oct143254670350
937365127330
1013332869352
11572206a0a0
122701198a60
13134633a80a
14906a5758c
155307a4c1c
hex31ab370e8

13332869352 has 64 divisors (see below), whose sum is σ = 40402641600. Its totient is φ = 4040262720.

The previous prime is 13332869351. The next prime is 13332869353. The reversal of 13332869352 is 25396823331.

13332869352 is a `hidden beast` number, since 1 + 333 + 286 + 9 + 35 + 2 = 666.

13332869352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13332869351) and next prime (13332869353).

It is a junction number, because it is equal to n+sod(n) for n = 13332869298 and 13332869307.

It is not an unprimeable number, because it can be changed into a prime (13332869351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2803363 + ... + 2808114.

It is an arithmetic number, because the mean of its divisors is an integer number (631291275).

Almost surely, 213332869352 is an apocalyptic number.

13332869352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13332869352 is an abundant number, since it is smaller than the sum of its proper divisors (27069772248).

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

13332869352 is a wasteful number, since it uses less digits than its factorization.

13332869352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611503 (or 5611493 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 13332869352 in words is "thirteen billion, three hundred thirty-two million, eight hundred sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5611477 11222954 16834431 22445908 33668862 44891816 50503293 61726247 67337724 101006586 123452494 134675448 151509879 185178741 202013172 246904988 303019758 370357482 404026344 493809976 555536223 606039516 740714964 1111072446 1212079032 1481429928 1666608669 2222144892 3333217338 4444289784 6666434676 13332869352