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34556211342 = 23271160116889
BaseRepresentation
bin100000001011101101…
…011111000010001110
310022012021121102100100
4200023231133002032
51031232342230332
623512551311530
72332222643562
oct401355370216
9108167542310
1034556211342
1113723098054
12684497b5a6
1333492c0243
14195b5c76a2
15d73b1c67c
hex80bb5f08e

34556211342 has 48 divisors (see below), whose sum is σ = 75978246240. Its totient is φ = 11348736000.

The previous prime is 34556211341. The next prime is 34556211353. The reversal of 34556211342 is 24311265543.

34556211342 is a `hidden beast` number, since 3 + 45 + 562 + 1 + 13 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34556211297 and 34556211306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34556211341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2037634 + ... + 2054522.

It is an arithmetic number, because the mean of its divisors is an integer number (1582880130).

Almost surely, 234556211342 is an apocalyptic number.

34556211342 is an abundant number, since it is smaller than the sum of its proper divisors (41422034898).

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

34556211342 is a wasteful number, since it uses less digits than its factorization.

34556211342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18569 (or 18566 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 34556211342 its reverse (24311265543), we get a palindrome (58867476885).

The spelling of 34556211342 in words is "thirty-four billion, five hundred fifty-six million, two hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 1601 3202 4803 9606 14409 16889 28818 33778 50667 101334 113671 152001 227342 304002 341013 682026 1023039 1199119 2046078 2398238 3597357 7194714 10792071 21584142 27039289 54078578 81117867 162235734 243353601 486707202 1919789519 3839579038 5759368557 11518737114 17278105671 34556211342