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34120837537 = 1971361127261
BaseRepresentation
bin11111110001110000…
…101010100110100001
310021001221101010202121
4133301300222212201
51024334413300122
623401435544241
72315355222313
oct376160524641
9107057333677
1034120837537
111351a361296
126742bbb081
1332aa0449c7
1419198557b3
15d4a7bcbc7
hex7f1c2a9a1

34120837537 has 8 divisors (see below), whose sum is σ = 34319507112. Its totient is φ = 33922425600.

The previous prime is 34120837529. The next prime is 34120837561. The reversal of 34120837537 is 73573802143.

It can be written as a sum of positive squares in 4 ways, for example, as 15237680481 + 18883157056 = 123441^2 + 137416^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34120837537 - 23 = 34120837529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34120837493 and 34120837502.

It is not an unprimeable number, because it can be changed into a prime (34120837577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204487 + ... + 331747.

It is an arithmetic number, because the mean of its divisors is an integer number (4289938389).

Almost surely, 234120837537 is an apocalyptic number.

It is an amenable number.

34120837537 is a deficient number, since it is larger than the sum of its proper divisors (198669575).

34120837537 is a wasteful number, since it uses less digits than its factorization.

34120837537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128819.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 34120837537 in words is "thirty-four billion, one hundred twenty million, eight hundred thirty-seven thousand, five hundred thirty-seven".

Divisors: 1 197 1361 127261 268117 25070417 173202221 34120837537