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34626006052 = 22112321738599
BaseRepresentation
bin100000001111110111…
…101110110000100100
310022101010221100200121
4200033313232300210
51031403224143202
623523523251324
72334031123651
oct401767566044
9108333840617
1034626006052
1113759528930
126864219b44
13335a8b94a1
141966994c28
15d79d07537
hex80fdeec24

34626006052 has 72 divisors (see below), whose sum is σ = 69510772800. Its totient is φ = 14966022720.

The previous prime is 34626006017. The next prime is 34626006071. The reversal of 34626006052 is 25060062643.

34626006052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×346260060522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34626005999 and 34626006017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4022449 + ... + 4031047.

It is an arithmetic number, because the mean of its divisors is an integer number (965427400).

Almost surely, 234626006052 is an apocalyptic number.

It is an amenable number.

34626006052 is an abundant number, since it is smaller than the sum of its proper divisors (34884766748).

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

34626006052 is a wasteful number, since it uses less digits than its factorization.

34626006052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 34626006052 its reverse (25060062643), we get a palindrome (59686068695).

The spelling of 34626006052 in words is "thirty-four billion, six hundred twenty-six million, six thousand, fifty-two".

Divisors: 1 2 4 11 22 23 44 46 92 173 253 346 506 529 692 1012 1058 1903 2116 3806 3979 5819 7612 7958 8599 11638 15916 17198 23276 34396 43769 87538 91517 94589 175076 183034 189178 197777 366068 378356 395554 791108 1006687 1487627 2013374 2175547 2975254 4026748 4351094 4548871 5950508 8702188 9097742 16363897 18195484 32727794 34215421 50037581 65455588 68430842 100075162 136861684 200150324 376369631 752739262 786954683 1505478524 1573909366 3147818732 8656501513 17313003026 34626006052