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13349218932 = 223475999761
BaseRepresentation
bin11000110111010110…
…01110101001110100
31021110022220120210000
430123223032221310
5204314400001212
610044344031300
7651543326430
oct143353165164
937408816700
1013349218932
115730316845
122706762530
13134984351a
14908cb19c0
15531e341dc
hex31bacea74

13349218932 has 120 divisors (see below), whose sum is σ = 40559238720. Its totient is φ = 3749379840.

The previous prime is 13349218931. The next prime is 13349218933. The reversal of 13349218932 is 23981294331.

13349218932 is a `hidden beast` number, since 1 + 3 + 349 + 218 + 93 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13349218931) and next prime (13349218933).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13349218931) 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 39 ways as a sum of consecutive naturals, for example, 83932 + ... + 183692.

It is an arithmetic number, because the mean of its divisors is an integer number (337993656).

Almost surely, 213349218932 is an apocalyptic number.

13349218932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13349218932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279619360).

13349218932 is an abundant number, since it is smaller than the sum of its proper divisors (27210019788).

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

13349218932 is a wasteful number, since it uses less digits than its factorization.

13349218932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99843 (or 99832 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 13349218932 in words is "thirteen billion, three hundred forty-nine million, two hundred eighteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 81 84 108 118 126 162 177 189 236 252 324 354 378 413 531 567 708 756 826 1062 1134 1239 1593 1652 2124 2268 2478 3186 3717 4779 4956 6372 7434 9558 11151 14868 19116 22302 33453 44604 66906 99761 133812 199522 299283 399044 598566 698327 897849 1197132 1396654 1795698 2094981 2693547 2793308 3591396 4189962 5387094 5885899 6284943 8080641 8379924 10774188 11771798 12569886 16161282 17657697 18854829 23543596 25139772 32322564 35315394 37709658 41201293 52973091 56564487 70630788 75419316 82402586 105946182 113128974 123603879 158919273 164805172 211892364 226257948 247207758 317838546 370811637 476757819 494415516 635677092 741623274 953515638 1112434911 1483246548 1907031276 2224869822 3337304733 4449739644 6674609466 13349218932