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34903336116 = 223117325114431
BaseRepresentation
bin100000100000011001…
…101010010010110100
310100002110210012000110
4200200121222102310
51032440223223431
624011231343020
72343636314265
oct404031522264
9110073705013
1034903336116
1113891029030
126921081a70
1333a31aa80c
14199174696c
15d94339346
hex82066a4b4

34903336116 has 96 divisors (see below), whose sum is σ = 90426986496. Its totient is φ = 10389600000.

The previous prime is 34903336087. The next prime is 34903336187. The reversal of 34903336116 is 61163330943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2411421 + ... + 2425851.

It is an arithmetic number, because the mean of its divisors is an integer number (941947776).

Almost surely, 234903336116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34903336116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45213493248).

34903336116 is an abundant number, since it is smaller than the sum of its proper divisors (55523650380).

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

34903336116 is a wasteful number, since it uses less digits than its factorization.

34903336116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14773 (or 14771 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The spelling of 34903336116 in words is "thirty-four billion, nine hundred three million, three hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 251 292 438 502 753 803 876 1004 1506 1606 2409 2761 3012 3212 4818 5522 8283 9636 11044 14431 16566 18323 28862 33132 36646 43293 54969 57724 73292 86586 109938 158741 173172 201553 219876 317482 403106 476223 604659 634964 806212 952446 1053463 1209318 1904892 2106926 2418636 3160389 3622181 4213852 6320778 7244362 10866543 11588093 12641556 14488724 21733086 23176186 34764279 39843991 43466172 46352372 69528558 79687982 119531973 139057116 159375964 239063946 264419213 478127892 528838426 793257639 1057676852 1586515278 2908611343 3173030556 5817222686 8725834029 11634445372 17451668058 34903336116