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13662022632 = 2332359341737
BaseRepresentation
bin11001011100101000…
…11110101111101000
31022021010111122210020
430232110132233220
5210434434211012
610135400320440
7662362163526
oct145624365750
938233448706
1013662022632
1158809458a5
122793473120
1313995a507b
14938659316
1554e621a8c
hex32e51ebe8

13662022632 has 64 divisors (see below), whose sum is σ = 35701015680. Its totient is φ = 4348557312.

The previous prime is 13662022631. The next prime is 13662022643. The reversal of 13662022632 is 23622026631.

It is a junction number, because it is equal to n+sod(n) for n = 13662022593 and 13662022602.

It is not an unprimeable number, because it can be changed into a prime (13662022631) 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 15 ways as a sum of consecutive naturals, for example, 306468 + ... + 348204.

It is an arithmetic number, because the mean of its divisors is an integer number (557828370).

Almost surely, 213662022632 is an apocalyptic number.

13662022632 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 13662022632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850507840).

13662022632 is an abundant number, since it is smaller than the sum of its proper divisors (22038993048).

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

13662022632 is a wasteful number, since it uses less digits than its factorization.

13662022632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42362 (or 42358 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 13662022632 in words is "thirteen billion, six hundred sixty-two million, twenty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 593 1186 1779 2372 3558 4744 7116 13639 14232 27278 40917 41737 54556 81834 83474 109112 125211 163668 166948 250422 327336 333896 500844 959951 1001688 1919902 2879853 3839804 5759706 7679608 11519412 23038824 24750041 49500082 74250123 99000164 148500246 198000328 297000492 569250943 594000984 1138501886 1707752829 2277003772 3415505658 4554007544 6831011316 13662022632