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34552546434 = 23371933971193
BaseRepresentation
bin100000001011011111…
…100000010010000010
310022012000201020001000
4200023133200102002
51031230422441214
623512340552430
72332146540660
oct401337402202
9108160636030
1034552546434
11137210145aa
1268436b2716
133348609063
14195ad11c30
15d73646809
hex80b7e0482

34552546434 has 128 divisors (see below), whose sum is σ = 88503482880. Its totient is φ = 9788055552.

The previous prime is 34552546433. The next prime is 34552546477. The reversal of 34552546434 is 43464525543.

34552546434 is a `hidden beast` number, since 3 + 4 + 552 + 5 + 4 + 64 + 34 = 666.

It is a super-2 number, since 2×345525464342 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34552546434.

It is not an unprimeable number, because it can be changed into a prime (34552546433) 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 63 ways as a sum of consecutive naturals, for example, 28962142 + ... + 28963334.

It is an arithmetic number, because the mean of its divisors is an integer number (691433460).

Almost surely, 234552546434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34552546434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44251741440).

34552546434 is an abundant number, since it is smaller than the sum of its proper divisors (53950936446).

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

34552546434 is a wasteful number, since it uses less digits than its factorization.

34552546434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1795 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 45.

The spelling of 34552546434 in words is "thirty-four billion, five hundred fifty-two million, five hundred forty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 193 378 386 397 579 794 1158 1191 1193 1351 1737 2382 2386 2702 2779 3474 3573 3579 4053 5211 5558 7146 7158 8106 8337 8351 10422 10719 10737 12159 16674 16702 21438 21474 24318 25011 25053 32211 36477 50022 50106 64422 72954 75033 75159 76621 150066 150318 153242 225477 229863 230249 450954 459726 460498 473621 536347 689589 690747 947242 1072694 1379178 1381494 1420863 1609041 1611743 2068767 2072241 2841726 3218082 3223486 3315347 4137534 4144482 4262589 4827123 4835229 6216723 6630694 8525178 9654246 9670458 9946041 12433446 12787767 14481369 14505687 19892082 25575534 28962738 29011374 29838123 43517061 59676246 87034122 89514369 91408853 179028738 182817706 274226559 548453118 639861971 822679677 1279723942 1645359354 1919585913 2468039031 3839171826 4936078062 5758757739 11517515478 17276273217 34552546434