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11463520398 = 23112731631327
BaseRepresentation
bin10101010110100011…
…10111000010001110
31002120220122011200120
422223101313002032
5141434130123043
65133303005410
7554035213161
oct125321670216
932526564616
1011463520398
114952949600
12227b139866
131108c79385
147aa68bad8
154715ed983
hex2ab47708e

11463520398 has 96 divisors (see below), whose sum is σ = 25722106368. Its totient is φ = 3402622080.

The previous prime is 11463520333. The next prime is 11463520417. The reversal of 11463520398 is 89302536411.

11463520398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8638011 + ... + 8639337.

It is an arithmetic number, because the mean of its divisors is an integer number (267938608).

Almost surely, 211463520398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11463520398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12861053184).

11463520398 is an abundant number, since it is smaller than the sum of its proper divisors (14258585970).

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

11463520398 is a wasteful number, since it uses less digits than its factorization.

11463520398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 11463520398 in words is "eleven billion, four hundred sixty-three million, five hundred twenty thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 73 121 146 163 219 242 326 363 438 489 726 803 978 1327 1606 1793 2409 2654 3586 3981 4818 5379 7962 8833 10758 11899 14597 17666 19723 23798 26499 29194 35697 39446 43791 52998 59169 71394 87582 96871 118338 130889 160567 193742 216301 261778 290613 321134 392667 432602 481701 581226 648903 785334 963402 1065581 1297806 1439779 2131162 2379311 2879558 3196743 4319337 4758622 6393486 7137933 8638674 11721391 14275866 15789973 23442782 26172421 31579946 35164173 47369919 52344842 70328346 78517263 94739838 157034526 173689703 347379406 521069109 1042138218 1910586733 3821173466 5731760199 11463520398