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34879952855 = 51129199109891
BaseRepresentation
bin100000011111000000…
…011101011111010111
310100000211210012012202
4200133000131133113
51032413231442410
624005034235115
72343233464436
oct403700353727
9110024705182
1034879952855
1113879907920
126915285a9b
13339b3b1477
14198c5bb11d
15d9226aca5
hex81f01d7d7

34879952855 has 32 divisors (see below), whose sum is σ = 47473344000. Its totient is φ = 24369206400.

The previous prime is 34879952773. The next prime is 34879952869. The reversal of 34879952855 is 55825997843.

It is not a de Polignac number, because 34879952855 - 210 = 34879951831 is a prime.

It is a super-2 number, since 2×348799528552 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 34879952791 and 34879952800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262460 + ... + 372350.

It is an arithmetic number, because the mean of its divisors is an integer number (1483542000).

Almost surely, 234879952855 is an apocalyptic number.

34879952855 is a deficient number, since it is larger than the sum of its proper divisors (12593391145).

34879952855 is a wasteful number, since it uses less digits than its factorization.

34879952855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110135.

The product of its digits is 108864000, while the sum is 65.

The spelling of 34879952855 in words is "thirty-four billion, eight hundred seventy-nine million, nine hundred fifty-two thousand, eight hundred fifty-five".

Divisors: 1 5 11 29 55 145 199 319 995 1595 2189 5771 10945 28855 63481 109891 317405 549455 1208801 3186839 6044005 15934195 21868309 35055229 109341545 175276145 240551399 634180961 1202756995 3170904805 6975990571 34879952855