Search a number
-
+
12025691664 = 2437431038081
BaseRepresentation
bin10110011001100100…
…10111111000010000
31011001002110102200120
423030302113320100
5144112034113124
65305144150240
7604002456360
oct131462277020
934032412616
1012025691664
11511120a158
1223b7468380
13119858b7ac
148211c89a0
154a5b47d79
hex2ccc97e10

12025691664 has 160 divisors (see below), whose sum is σ = 36687366144. Its totient is φ = 3323013120.

The previous prime is 12025691653. The next prime is 12025691677. The reversal of 12025691664 is 46619652021.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1484104 + ... + 1492184.

Almost surely, 212025691664 is an apocalyptic number.

12025691664 is a gapful number since it is divisible by the number (14) 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 12025691664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343683072).

12025691664 is an abundant number, since it is smaller than the sum of its proper divisors (24661674480).

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

12025691664 is a wasteful number, since it uses less digits than its factorization.

12025691664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8245 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 12025691664 in words is "twelve billion, twenty-five million, six hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 103 112 129 168 172 206 258 301 309 336 344 412 516 602 618 688 721 824 903 1032 1204 1236 1442 1648 1806 2064 2163 2408 2472 2884 3612 4326 4429 4816 4944 5768 7224 8081 8652 8858 11536 13287 14448 16162 17304 17716 24243 26574 31003 32324 34608 35432 48486 53148 56567 62006 64648 70864 93009 96972 106296 113134 124012 129296 169701 186018 193944 212592 226268 248024 339402 347483 372036 387888 452536 496048 678804 694966 744072 832343 905072 1042449 1357608 1389932 1488144 1664686 2084898 2432381 2497029 2715216 2779864 3329372 4169796 4864762 4994058 5559728 5826401 6658744 7297143 8339592 9729524 9988116 11652802 13317488 14594286 16679184 17479203 19459048 19976232 23305604 29188572 34958406 35790749 38918096 39952464 46611208 58377144 69916812 71581498 93222416 107372247 116754288 139833624 143162996 214744494 250535243 279667248 286325992 429488988 501070486 572651984 751605729 858977976 1002140972 1503211458 1717955952 2004281944 3006422916 4008563888 6012845832 12025691664