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11486158516 = 227538393253
BaseRepresentation
bin10101011001010000…
…01101111010110100
31002122111020022100101
422230220031322310
5142010424033031
65135432123444
7554431510420
oct125450157264
932574208311
1011486158516
114964700998
122286836584
131110874501
147ad6a1b80
154735c1361
hex2aca0deb4

11486158516 has 48 divisors (see below), whose sum is σ = 23688008064. Its totient is φ = 4771518336.

The previous prime is 11486158447. The next prime is 11486158543. The reversal of 11486158516 is 61585168411.

11486158516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 76546 + ... + 169798.

It is an arithmetic number, because the mean of its divisors is an integer number (493500168).

Almost surely, 211486158516 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 11486158516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844004032).

11486158516 is an abundant number, since it is smaller than the sum of its proper divisors (12201849548).

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

11486158516 is a wasteful number, since it uses less digits than its factorization.

11486158516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93400 (or 93398 counting only the distinct ones).

The product of its digits is 230400, while the sum is 46.

The spelling of 11486158516 in words is "eleven billion, four hundred eighty-six million, one hundred fifty-eight thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 53 83 106 166 212 332 371 581 742 1162 1484 2324 4399 8798 17596 30793 61586 93253 123172 186506 373012 652771 1305542 2611084 4942409 7739999 9884818 15479998 19769636 30959996 34596863 54179993 69193726 108359986 138387452 216719972 410219947 820439894 1640879788 2871539629 5743079258 11486158516