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1983774012 = 22311234115937
BaseRepresentation
bin111011000111101…
…1111110100111100
312010020211011100120
41312033133310330
513030321232022
6524503054540
7100105541463
oct16617376474
95106734316
101983774012
11928874860
12474441450
13257cb599c
1414b6739da
15b9259d5c
hex763dfd3c

1983774012 has 96 divisors (see below), whose sum is σ = 5398009344. Its totient is φ = 560947200.

The previous prime is 1983774007. The next prime is 1983774071. The reversal of 1983774012 is 2104773891.

It is a super-2 number, since 2×19837740122 = 7870718661373152288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 116508 + ... + 132444.

It is an arithmetic number, because the mean of its divisors is an integer number (56229264).

Almost surely, 21983774012 is an apocalyptic number.

1983774012 is a gapful number since it is divisible by the number (12) 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 1983774012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699004672).

1983774012 is an abundant number, since it is smaller than the sum of its proper divisors (3414235332).

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

1983774012 is a wasteful number, since it uses less digits than its factorization.

1983774012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16019 (or 16017 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 1983774012 is about 44539.5780402105. The cubic root of 1983774012 is about 1256.5045498486.

The spelling of 1983774012 in words is "one billion, nine hundred eighty-three million, seven hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 41 44 46 66 69 82 92 123 132 138 164 246 253 276 451 492 506 759 902 943 1012 1353 1518 1804 1886 2706 2829 3036 3772 5412 5658 10373 11316 15937 20746 31119 31874 41492 47811 62238 63748 95622 124476 175307 191244 350614 366551 525921 653417 701228 733102 1051842 1099653 1306834 1466204 1960251 2103684 2199306 2613668 3920502 4032061 4398612 7187587 7841004 8064122 12096183 14375174 15028591 16128244 21562761 24192366 28750348 30057182 43125522 45085773 48384732 60114364 86251044 90171546 165314501 180343092 330629002 495943503 661258004 991887006 1983774012