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34564423033021 = 72716321984749
BaseRepresentation
bin1111101101111101010000…
…01010000010000010111101
311112101022211001220100001211
413312332220022002002331
514012300414244024041
6201302402101404421
710165124424125500
oct766765012020275
9145338731810054
1034564423033021
1110016764789372
123a62997409711
13163954627b71b
14876cd9995137
153ee1775a3481
hex1f6fa82820bd

34564423033021 has 12 divisors (see below), whose sum is σ = 40207691101500. Its totient is φ = 29626576869120.

The previous prime is 34564423033001. The next prime is 34564423033057. The reversal of 34564423033021 is 12033032446543.

It can be written as a sum of positive squares in 2 ways, for example, as 521154048100 + 34043268984921 = 721910^2 + 5834661^2 .

It is a de Polignac number, because none of the positive numbers 2k-34564423033021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34564423033001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34607355 + ... + 35592103.

It is an arithmetic number, because the mean of its divisors is an integer number (3350640925125).

Almost surely, 234564423033021 is an apocalyptic number.

It is an amenable number.

34564423033021 is a deficient number, since it is larger than the sum of its proper divisors (5643268068479).

34564423033021 is an equidigital number, since it uses as much as digits as its factorization.

34564423033021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701084 (or 1701077 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

Adding to 34564423033021 its reverse (12033032446543), we get a palindrome (46597455479564).

The spelling of 34564423033021 in words is "thirty-four trillion, five hundred sixty-four billion, four hundred twenty-three million, thirty-three thousand, twenty-one".

Divisors: 1 7 49 716321 984749 5014247 6893243 35099729 48252701 705396388429 4937774719003 34564423033021