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11858130680 = 2351127931013
BaseRepresentation
bin10110000101100110…
…01011011011111000
31010121102011110020012
423002303023123320
5143241140140210
65240400521052
7566566306364
oct130263133370
933542143205
1011858130680
115035673100
12236b320188
13116c951696
14806c4c2a4
1549609a305
hex2c2ccb6f8

11858130680 has 96 divisors (see below), whose sum is σ = 29699006400. Its totient is φ = 4257327360.

The previous prime is 11858130671. The next prime is 11858130701. The reversal of 11858130680 is 8603185811.

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, 366854 + ... + 397866.

It is an arithmetic number, because the mean of its divisors is an integer number (309364650).

Almost surely, 211858130680 is an apocalyptic number.

11858130680 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 11858130680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849503200).

11858130680 is an abundant number, since it is smaller than the sum of its proper divisors (17840875720).

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

11858130680 is a wasteful number, since it uses less digits than its factorization.

11858130680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31125 (or 31110 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 41.

The spelling of 11858130680 in words is "eleven billion, eight hundred fifty-eight million, one hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 121 158 220 242 316 395 440 484 605 632 790 869 968 1210 1580 1738 2420 3160 3476 4345 4840 6952 8690 9559 17380 19118 31013 34760 38236 47795 62026 76472 95590 124052 155065 191180 248104 310130 341143 382360 620260 682286 1240520 1364572 1705715 2450027 2729144 3411430 3752573 4900054 6822860 7505146 9800108 12250135 13645720 15010292 18762865 19600216 24500270 26950297 30020584 37525730 49000540 53900594 75051460 98001080 107801188 134751485 150102920 215602376 269502970 296453267 539005940 592906534 1078011880 1185813068 1482266335 2371626136 2964532670 5929065340 11858130680