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13353472332 = 22323168317519
BaseRepresentation
bin11000110111110110…
…11101000101001100
31021110121220200100100
430123323131011030
5204321442103312
610045015131100
7651624433134
oct143373350514
937417820310
1013353472332
115732761452
122708073a90
13134a6a2525
1490969bac4
155324c45dc
hex31bedd14c

13353472332 has 72 divisors (see below), whose sum is σ = 34896476160. Its totient is φ = 4301019360.

The previous prime is 13353472331. The next prime is 13353472343. The reversal of 13353472332 is 23327435331.

13353472332 is a `hidden beast` number, since 133 + 53 + 472 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13353472331) 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 23 ways as a sum of consecutive naturals, for example, 753469 + ... + 770987.

It is an arithmetic number, because the mean of its divisors is an integer number (484673280).

Almost surely, 213353472332 is an apocalyptic number.

13353472332 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 13353472332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448238080).

13353472332 is an abundant number, since it is smaller than the sum of its proper divisors (21543003828).

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

13353472332 is a wasteful number, since it uses less digits than its factorization.

13353472332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18243 (or 18238 counting only the distinct ones).

The product of its digits is 136080, while the sum is 36.

The spelling of 13353472332 in words is "thirteen billion, three hundred fifty-three million, four hundred seventy-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 683 1116 1366 2049 2732 4098 6147 8196 12294 17519 21173 24588 35038 42346 52557 63519 70076 84692 105114 127038 157671 190557 210228 254076 315342 381114 543089 630684 762228 1086178 1629267 2172356 3258534 4887801 6517068 9775602 11965477 19551204 23930954 35896431 47861908 71792862 107689293 143585724 215378586 370929787 430757172 741859574 1112789361 1483719148 2225578722 3338368083 4451157444 6676736166 13353472332