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11116340586 = 2331343336571
BaseRepresentation
bin10100101101001010…
…11110010101101010
31001200201100121112000
422112211132111222
5140231240344321
65035021431430
7542321223141
oct122645362552
931621317460
1011116340586
11479498023a
1221a2a0b576
13108206ca30
14776516758
15450dc0826
hex29695e56a

11116340586 has 64 divisors (see below), whose sum is σ = 26665376640. Its totient is φ = 3412419840.

The previous prime is 11116340549. The next prime is 11116340617. The reversal of 11116340586 is 68504361111.

It is a happy number.

11116340586 is a `hidden beast` number, since 1 + 1 + 11 + 63 + 4 + 0 + 586 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11116340586.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285681 + ... + 322251.

It is an arithmetic number, because the mean of its divisors is an integer number (416646510).

Almost surely, 211116340586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11116340586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332688320).

11116340586 is an abundant number, since it is smaller than the sum of its proper divisors (15549036054).

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

11116340586 is a wasteful number, since it uses less digits than its factorization.

11116340586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37028 (or 37022 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11116340586 in words is "eleven billion, one hundred sixteen million, three hundred forty thousand, five hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 433 702 866 1299 2598 3897 5629 7794 11258 11691 16887 23382 33774 36571 50661 73142 101322 109713 151983 219426 303966 329139 475423 658278 950846 987417 1426269 1974834 2852538 4278807 8557614 12836421 15835243 25672842 31670486 47505729 95011458 142517187 205858159 285034374 411716318 427551561 617574477 855103122 1235148954 1852723431 3705446862 5558170293 11116340586