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12074646640 = 2457211327259
BaseRepresentation
bin10110011111011010…
…00111110001110000
31011011111120121021211
423033231013301300
5144212102143030
65314053325504
7605135542300
oct131755076160
934144517254
1012074646640
115136906811
12240b936894
1311a576c334
148278cd600
154aa0b812a
hex2cfb47c70

12074646640 has 120 divisors (see below), whose sum is σ = 32947199280. Its totient is φ = 4103092224.

The previous prime is 12074646631. The next prime is 12074646667. The reversal of 12074646640 is 4664647021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12074646593 and 12074646602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429331 + ... + 456589.

It is an arithmetic number, because the mean of its divisors is an integer number (274559994).

Almost surely, 212074646640 is an apocalyptic number.

12074646640 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 12074646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473599640).

12074646640 is an abundant number, since it is smaller than the sum of its proper divisors (20872552640).

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

12074646640 is a wasteful number, since it uses less digits than its factorization.

12074646640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27399 (or 27386 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 12074646640 in words is "twelve billion, seventy-four million, six hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 113 140 196 226 245 280 392 452 490 560 565 784 791 904 980 1130 1582 1808 1960 2260 3164 3920 3955 4520 5537 6328 7910 9040 11074 12656 15820 22148 27259 27685 31640 44296 54518 55370 63280 88592 109036 110740 136295 190813 218072 221480 272590 381626 436144 442960 545180 763252 954065 1090360 1335691 1526504 1908130 2180720 2671382 3053008 3080267 3816260 5342764 6160534 6678455 7632520 10685528 12321068 13356910 15265040 15401335 21371056 21561869 24642136 26713820 30802670 43123738 49284272 53427640 61605340 86247476 106855280 107809345 123210680 150933083 172494952 215618690 246421360 301866166 344989904 431237380 603732332 754665415 862474760 1207464664 1509330830 1724949520 2414929328 3018661660 6037323320 12074646640