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11887434460 = 2251125983257
BaseRepresentation
bin10110001001000101…
…11101101011011100
31010200110022020110101
423010202331223130
5143321140400320
65243324550444
7600403345216
oct130442755334
933613266411
1011887434460
115050168500
1223790b2424
131175a417b5
1480aab95b6
15498937c0a
hex2c48bdadc

11887434460 has 72 divisors (see below), whose sum is σ = 27904751280. Its totient is φ = 4249386240.

The previous prime is 11887434421. The next prime is 11887434491. The reversal of 11887434460 is 6443478811.

It is a super-2 number, since 2×118874344602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11887434460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101152 + ... + 184408.

It is an arithmetic number, because the mean of its divisors is an integer number (387565990).

Almost surely, 211887434460 is an apocalyptic number.

11887434460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11887434460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952375640).

11887434460 is an abundant number, since it is smaller than the sum of its proper divisors (16017316820).

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

11887434460 is a wasteful number, since it uses less digits than its factorization.

11887434460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83347 (or 83334 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 11887434460 in words is "eleven billion, eight hundred eighty-seven million, four hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 121 220 236 242 295 484 590 605 649 1180 1210 1298 2420 2596 3245 6490 7139 12980 14278 28556 35695 71390 83257 142780 166514 333028 416285 832570 915827 1665140 1831654 3663308 4579135 4912163 9158270 9824326 10074097 18316540 19648652 20148194 24560815 40296388 49121630 50370485 54033793 98243260 100740970 108067586 201481940 216135172 270168965 540337930 594371723 1080675860 1188743446 2377486892 2971858615 5943717230 11887434460