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34505069508 = 223272131504669
BaseRepresentation
bin100000001000101010…
…011001001111000100
310022001201101010221100
4200020222121033010
51031131244211013
623503523220100
72331032152200
oct401052311704
9108051333840
1034505069508
11136a7237478
12682b817630
13333b8251c0
1419548b3b00
15d6e3b9473
hex808a993c4

34505069508 has 108 divisors (see below), whose sum is σ = 109266126060. Its totient is φ = 9100232064.

The previous prime is 34505069503. The next prime is 34505069569. The reversal of 34505069508 is 80596050543.

34505069508 is a `hidden beast` number, since 3 + 4 + 50 + 506 + 95 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12945433284 + 21559636224 = 113778^2 + 146832^2 .

It is a super-2 number, since 2×345050695082 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34505069503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 729403 + ... + 775266.

Almost surely, 234505069508 is an apocalyptic number.

It is an amenable number.

34505069508 is an abundant number, since it is smaller than the sum of its proper divisors (74761056552).

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

34505069508 is a wasteful number, since it uses less digits than its factorization.

34505069508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504706 (or 1504694 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 34505069508 in words is "thirty-four billion, five hundred five million, sixty-nine thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 1504669 3009338 4514007 6018676 9028014 10532683 13542021 18056028 19560697 21065366 27084042 31598049 39121394 42130732 54168084 58682091 63196098 73728781 78242788 94794147 117364182 126392196 136924879 147457562 176046273 189588294 221186343 234728364 273849758 294915124 352092546 379176588 410774637 442372686 547699516 663559029 704185092 821549274 884745372 958474153 1232323911 1327118058 1643098548 1916948306 2464647822 2654236116 2875422459 3833896612 4929295644 5750844918 8626267377 11501689836 17252534754 34505069508