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11608016958916 = 227239726132
BaseRepresentation
bin1010100011101011001110…
…1110100011010111000100
31112002201022122211102221221
42220322303232203113010
53010141204320141131
640404352133050124
72305436324103400
oct250726356432704
945081278742857
1011608016958916
113775a28a53394
121375865486944
13662828c81821
142c1b8c45a100
15151e40272411
hexa8eb3ba35c4

11608016958916 has 81 divisors (see below), whose sum is σ = 23728988323719. Its totient is φ = 4954238106048.

The previous prime is 11608016958871. The next prime is 11608016959037. The reversal of 11608016958916 is 61985961080611.

The square root of 11608016958916 is 3407054.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3219347416516 + 8388669542400 = 1794254^2 + 2896320^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18936405826 + ... + 18936406438.

Almost surely, 211608016958916 is an apocalyptic number.

11608016958916 is the 3407054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11608016958916

11608016958916 is an abundant number, since it is smaller than the sum of its proper divisors (12120971364803).

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

11608016958916 is an frugal number, since it uses more digits than its factorization.

11608016958916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 61.

The spelling of 11608016958916 in words is "eleven trillion, six hundred eight billion, sixteen million, nine hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 397 613 794 1226 1588 2452 2779 4291 5558 8582 11116 17164 19453 30037 38906 60074 77812 120148 157609 243361 315218 375769 486722 630436 751538 973444 1103263 1503076 1703527 2206526 2630383 3407054 4413052 5260766 6814108 7722841 10521532 11924689 15445682 18412681 23849378 30891364 36825362 47698756 73650724 96614317 149180293 193228634 298360586 386457268 596721172 676300219 1044262051 1352600438 2088524102 2705200876 4177048204 4734101533 7309834357 9468203066 14619668714 18936406132 29239337428 59224576321 118449152642 236898305284 414572034247 829144068494 1658288136988 2902004239729 5804008479458 11608016958916