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42786818460 = 22335109372493
BaseRepresentation
bin100111110110010010…
…110000100110011100
311002102212221120202000
4213312102300212130
51200111411142320
631353410002300
73043203645651
oct476622604634
9132385846660
1042786818460
1117167052aa1
128361276390
13405b545a79
1420dc75dc28
1511a64bac90
hex9f64b099c

42786818460 has 96 divisors (see below), whose sum is σ = 133238172480. Its totient is φ = 11399222016.

The previous prime is 42786818453. The next prime is 42786818479. The reversal of 42786818460 is 6481868724.

42786818460 is a `hidden beast` number, since 4 + 27 + 86 + 81 + 8 + 460 = 666.

42786818460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42786818397 and 42786818406.

It is a congruent number.

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, 553974 + ... + 626466.

It is an arithmetic number, because the mean of its divisors is an integer number (1387897630).

Almost surely, 242786818460 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 42786818460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66619086240).

42786818460 is an abundant number, since it is smaller than the sum of its proper divisors (90451354020).

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

42786818460 is a wasteful number, since it uses less digits than its factorization.

42786818460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73604 (or 73596 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 42786818460 in words is "forty-two billion, seven hundred eighty-six million, eight hundred eighteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1093 2186 3279 4372 5465 6558 9837 10930 13116 16395 19674 21860 29511 32790 39348 49185 59022 65580 72493 98370 118044 144986 147555 196740 217479 289972 295110 362465 434958 590220 652437 724930 869916 1087395 1304874 1449860 1957311 2174790 2609748 3262185 3914622 4349580 6524370 7829244 9786555 13048740 19573110 39146220 79234849 158469698 237704547 316939396 396174245 475409094 713113641 792348490 950818188 1188522735 1426227282 1584696980 2139340923 2377045470 2852454564 3565568205 4278681846 4754090940 7131136410 8557363692 10696704615 14262272820 21393409230 42786818460