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13362176052 = 223217148714683
BaseRepresentation
bin11000111000111001…
…01010000000110100
31021111020021212121100
430130130222000310
5204331204113202
610045525450100
7652061423331
oct143434520064
937436255540
1013362176052
115737666705
12270ab70930
13134c42c064
1490a8c5988
1553314341c
hex31c72a034

13362176052 has 72 divisors (see below), whose sum is σ = 35789959296. Its totient is φ = 4188950784.

The previous prime is 13362176029. The next prime is 13362176077. The reversal of 13362176052 is 25067126331.

13362176052 is a `hidden beast` number, since 1 + 3 + 36 + 2 + 17 + 605 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13362175998 and 13362176016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902703 + ... + 917385.

It is an arithmetic number, because the mean of its divisors is an integer number (497082768).

Almost surely, 213362176052 is an apocalyptic number.

13362176052 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 13362176052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17894979648).

13362176052 is an abundant number, since it is smaller than the sum of its proper divisors (22427783244).

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

13362176052 is a wasteful number, since it uses less digits than its factorization.

13362176052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16197 (or 16192 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13362176052 in words is "thirteen billion, three hundred sixty-two million, one hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1487 2974 4461 5948 8922 13383 14683 17844 25279 26766 29366 44049 50558 53532 58732 75837 88098 101116 132147 151674 176196 227511 249611 264294 303348 455022 499222 528588 748833 910044 998444 1497666 2246499 2995332 4492998 8985996 21833621 43667242 65500863 87334484 131001726 196502589 262003452 371171557 393005178 742343114 786010356 1113514671 1484686228 2227029342 3340544013 4454058684 6681088026 13362176052