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34504707636 = 22327198298693
BaseRepresentation
bin100000001000101001…
…000000111000110100
310022001200200202112200
4200020221000320310
51031131201121021
623503511344500
72331026114160
oct401051007064
9108050622480
1034504707636
11136a700a603
12682b682130
13333b729589
14195481bca0
15d6e347126
hex808a40e34

34504707636 has 144 divisors (see below), whose sum is σ = 105065251200. Its totient is φ = 9327280896.

The previous prime is 34504707613. The next prime is 34504707637. The reversal of 34504707636 is 63670740543.

34504707636 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 4 + 7 + 0 + 7 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34504707591 and 34504707600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34504707637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3964906 + ... + 3973598.

It is an arithmetic number, because the mean of its divisors is an integer number (729619800).

Almost surely, 234504707636 is an apocalyptic number.

34504707636 is a gapful number since it is divisible by the number (36) 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 34504707636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52532625600).

34504707636 is an abundant number, since it is smaller than the sum of its proper divisors (70560543564).

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

34504707636 is a wasteful number, since it uses less digits than its factorization.

34504707636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 34504707636 in words is "thirty-four billion, five hundred four million, seven hundred seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 829 1197 1596 1658 2394 2487 3316 4788 4974 5803 7461 8693 9948 11606 14922 15751 17386 17409 23212 26079 29844 31502 34772 34818 47253 52158 52227 60851 63004 69636 78237 94506 104316 104454 110257 121702 141759 156474 165167 182553 189012 208908 220514 243404 283518 312948 330334 330771 365106 441028 495501 547659 567036 660668 661542 730212 991002 992313 1095318 1156169 1323084 1486503 1982004 1984626 2190636 2312338 2973006 3468507 3969252 4624676 5946012 6937014 7206497 10405521 13874028 14412994 20811042 21619491 28825988 41622084 43238982 50445479 64858473 86477964 100890958 129716946 136923443 151336437 201781916 259433892 273846886 302672874 410770329 454009311 547693772 605345748 821540658 908018622 958464101 1232310987 1643081316 1816037244 1916928202 2464621974 2875392303 3833856404 4929243948 5750784606 8626176909 11501569212 17252353818 34504707636