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34533045456 = 24371347168211
BaseRepresentation
bin100000001010010101…
…000111010011010000
310022010200000110201120
4200022111013103100
51031210424423311
623510403002240
72331522020550
oct401225072320
9108120013646
1034533045456
1113711005198
126839069380
13334456bb10
1419584b7160
15d71a93706
hex80a5474d0

34533045456 has 160 divisors (see below), whose sum is σ = 112134156288. Its totient is φ = 8913784320.

The previous prime is 34533045419. The next prime is 34533045467. The reversal of 34533045456 is 65454033543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 121191 + ... + 289401.

Almost surely, 234533045456 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 34533045456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56067078144).

34533045456 is an abundant number, since it is smaller than the sum of its proper divisors (77601110832).

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

34533045456 is a wasteful number, since it uses less digits than its factorization.

34533045456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168289 (or 168283 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

Adding to 34533045456 its reverse (65454033543), we get a palindrome (99987078999).

The spelling of 34533045456 in words is "thirty-four billion, five hundred thirty-three million, forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 47 48 52 56 78 84 91 94 104 112 141 156 168 182 188 208 273 282 312 329 336 364 376 546 564 611 624 658 728 752 987 1092 1128 1222 1316 1456 1833 1974 2184 2256 2444 2632 3666 3948 4277 4368 4888 5264 7332 7896 8554 9776 12831 14664 15792 17108 25662 29328 34216 51324 68432 102648 168211 205296 336422 504633 672844 1009266 1177477 1345688 2018532 2186743 2354954 2691376 3532431 4037064 4373486 4709908 6560229 7064862 7905917 8074128 8746972 9419816 13120458 14129724 15307201 15811834 17493944 18839632 23717751 26240916 28259448 30614402 31623668 34987888 45921603 47435502 52481832 55341419 56518896 61228804 63247336 91843206 94871004 102776921 104963664 110682838 122457608 126494672 166024257 183686412 189742008 205553842 221365676 244915216 308330763 332048514 367372824 379484016 411107684 442731352 616661526 664097028 719438447 734745648 822215368 885462704 1233323052 1328194056 1438876894 1644430736 2158315341 2466646104 2656388112 2877753788 4316630682 4933292208 5755507576 8633261364 11511015152 17266522728 34533045456