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34511521005 = 32513373158161
BaseRepresentation
bin100000001001000011…
…000000010011101101
310022002011111220201200
4200021003000103231
51031134422133010
623504313400113
72331141042213
oct401103002355
9108064456650
1034511521005
11136aa943595
126831a09039
13333cc73860
1419556b2cb3
15d6ec40cc0
hex8090c04ed

34511521005 has 48 divisors (see below), whose sum is σ = 64594626096. Its totient is φ = 16944629760.

The previous prime is 34511520997. The next prime is 34511521019. The reversal of 34511521005 is 50012511543.

It can be written as a sum of positive squares in 8 ways, for example, as 2834284644 + 31677236361 = 53238^2 + 177981^2 .

It is not a de Polignac number, because 34511521005 - 23 = 34511520997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34511521005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139125 + ... + 297285.

It is an arithmetic number, because the mean of its divisors is an integer number (1345721377).

Almost surely, 234511521005 is an apocalyptic number.

It is an amenable number.

34511521005 is a deficient number, since it is larger than the sum of its proper divisors (30083105091).

34511521005 is a wasteful number, since it uses less digits than its factorization.

34511521005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158558 (or 158555 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 34511521005 in words is "thirty-four billion, five hundred eleven million, five hundred twenty-one thousand, five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 373 585 1119 1865 3357 4849 5595 14547 16785 24245 43641 72735 158161 218205 474483 790805 1423449 2056093 2372415 6168279 7117245 10280465 18504837 30841395 58994053 92524185 176982159 294970265 530946477 766922689 884910795 2300768067 2654732385 3834613445 6902304201 11503840335 34511521005