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12018474820 = 22511127443971
BaseRepresentation
bin10110011000101101…
…10101111101000100
31011000120212210001001
423030112311331010
5144103212143240
65304325343044
7603554231122
oct131426657504
934016783031
1012018474820
115108130020
1223b4b67a84
131196c32981
1482026a912
154a51be89a
hex2cc5b5f44

12018474820 has 96 divisors (see below), whose sum is σ = 27841314816. Its totient is φ = 4321699200.

The previous prime is 12018474781. The next prime is 12018474829. The reversal of 12018474820 is 2847481021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12018474820.

It is not an unprimeable number, because it can be changed into a prime (12018474829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12376935 + ... + 12377905.

It is an arithmetic number, because the mean of its divisors is an integer number (290013696).

Almost surely, 212018474820 is an apocalyptic number.

12018474820 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 12018474820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920657408).

12018474820 is an abundant number, since it is smaller than the sum of its proper divisors (15822839996).

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

12018474820 is a wasteful number, since it uses less digits than its factorization.

12018474820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 12018474820 in words is "twelve billion, eighteen million, four hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 443 508 635 886 971 1270 1397 1772 1942 2215 2540 2794 3884 4430 4855 4873 5588 6985 8860 9710 9746 10681 13970 19420 19492 21362 24365 27940 42724 48730 53405 56261 97460 106810 112522 123317 213620 225044 246634 281305 430153 493268 562610 616585 618871 860306 1125220 1233170 1237742 1356487 1720612 2150765 2466340 2475484 2712974 3094355 4301530 4731683 5425948 6188710 6782435 8603060 9463366 12377420 13564870 18926732 23658415 27129740 47316830 54629431 94633660 109258862 218517724 273147155 546294310 600923741 1092588620 1201847482 2403694964 3004618705 6009237410 12018474820