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34563540544 = 2613411013237
BaseRepresentation
bin100000001100001001…
…011100011001000000
310022012210101210010021
4200030021130121000
51031241231244134
623513412343224
72332342150531
oct401411343100
9108183353107
1034563540544
1113727243645
126847314b14
13334a988250
14195c574688
15d745b90b4
hex80c25c640

34563540544 has 56 divisors (see below), whose sum is σ = 75664560888. Its totient is φ = 15563304960.

The previous prime is 34563540541. The next prime is 34563540553. The reversal of 34563540544 is 44504536543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1398760000 + 33164780544 = 37400^2 + 182112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34563540544.

It is not an unprimeable number, because it can be changed into a prime (34563540541) 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 7 ways as a sum of consecutive naturals, for example, 472507 + ... + 540730.

It is an arithmetic number, because the mean of its divisors is an integer number (1351152873).

Almost surely, 234563540544 is an apocalyptic number.

It is an amenable number.

34563540544 is an abundant number, since it is smaller than the sum of its proper divisors (41101020344).

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

34563540544 is a wasteful number, since it uses less digits than its factorization.

34563540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013303 (or 1013293 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 43.

The spelling of 34563540544 in words is "thirty-four billion, five hundred sixty-three million, five hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1312 2132 2624 4264 8528 17056 34112 1013237 2026474 4052948 8105896 13172081 16211792 26344162 32423584 41542717 52688324 64847168 83085434 105376648 166170868 210753296 332341736 421506592 540055321 664683472 843013184 1080110642 1329366944 2160221284 2658733888 4320442568 8640885136 17281770272 34563540544