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34542136632 = 23331313148331
BaseRepresentation
bin100000001010110111…
…110010110100111000
310022011022010100110210
4200022313302310320
51031220241333012
623511325511120
72331662213463
oct401267626470
9108138110423
1034542136632
1113716154563
1268401124a0
133346402b03
1419597a22da
15d7278c23c
hex80adf2d38

34542136632 has 64 divisors (see below), whose sum is σ = 89426396160. Its totient is φ = 11106950400.

The previous prime is 34542136627. The next prime is 34542136633. The reversal of 34542136632 is 23663124543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34542136633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158707 + ... + 307037.

It is an arithmetic number, because the mean of its divisors is an integer number (1397287440).

Almost surely, 234542136632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34542136632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44713198080).

34542136632 is an abundant number, since it is smaller than the sum of its proper divisors (54884259528).

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

34542136632 is a wasteful number, since it uses less digits than its factorization.

34542136632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148684 (or 148680 counting only the distinct ones).

The product of its digits is 311040, while the sum is 39.

The spelling of 34542136632 in words is "thirty-four billion, five hundred forty-two million, one hundred thirty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 313 372 626 744 939 1252 1878 2504 3756 7512 9703 19406 29109 38812 58218 77624 116436 148331 232872 296662 444993 593324 889986 1186648 1779972 3559944 4598261 9196522 13794783 18393044 27589566 36786088 46427603 55179132 92855206 110358264 139282809 185710412 278565618 371420824 557131236 1114262472 1439255693 2878511386 4317767079 5757022772 8635534158 11514045544 17271068316 34542136632