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32134352505012 = 22322299474116059
BaseRepresentation
bin1110100111001110111001…
…01010101000100010110100
311012210000101021111000111100
413103213130222220202310
513202442123220130022
6152202152344410100
76524426132344512
oct723473452504264
9135700337430440
1032134352505012
11a26a11428044a
12372ba29776930
1314c134451bca4
147d144d3b94b2
153aad4ccc11ac
hex1d39dcaa88b4

32134352505012 has 72 divisors (see below), whose sum is σ = 81669380738400. Its totient is φ = 10653411814848.

The previous prime is 32134352505011. The next prime is 32134352505061. The reversal of 32134352505012 is 21050525343123.

32134352505012 is a `hidden beast` number, since 3 + 2 + 1 + 343 + 5 + 250 + 50 + 12 = 666.

It is a super-2 number, since 2×321343525050122 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32134352505011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5749039 + ... + 9865097.

It is an arithmetic number, because the mean of its divisors is an integer number (1134296954700).

Almost surely, 232134352505012 is an apocalyptic number.

It is an amenable number.

32134352505012 is an abundant number, since it is smaller than the sum of its proper divisors (49535028233388).

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

32134352505012 is a wasteful number, since it uses less digits than its factorization.

32134352505012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117245 (or 4117240 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 32134352505012 its reverse (21050525343123), we get a palindrome (53184877848135).

The spelling of 32134352505012 in words is "thirty-two trillion, one hundred thirty-four billion, three hundred fifty-two million, five hundred five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 947 1374 1894 2061 2748 2841 3788 4122 5682 8244 8523 11364 17046 34092 216863 433726 650589 867452 1301178 1951767 2602356 3903534 4116059 7807068 8232118 12348177 16464236 24696354 37044531 49392708 74089062 148178124 942577511 1885155022 2827732533 3770310044 3897907873 5655465066 7795815746 8483197599 11310930132 11693723619 15591631492 16966395198 23387447238 33932790396 35081170857 46774894476 70162341714 140324683428 892620902917 1785241805834 2677862708751 3570483611668 5355725417502 8033588126253 10711450835004 16067176252506 32134352505012