Search a number
-
+
20452662132012 = 223211266328616779
BaseRepresentation
bin1001010011010000000011…
…01010010011110100101100
32200102020220012010100212100
410221220001222103310230
510140044023001211022
6111255453454335100
74210441014453315
oct451500152236454
980366805110770
1020452662132012
116575a1a634690
122363a431ba490
13b548a707a226
14509cb252760c
15257049bc91ac
hex129a01a93d2c

20452662132012 has 144 divisors (see below), whose sum is σ = 56448990823680. Its totient is φ = 6192369955200.

The previous prime is 20452662131947. The next prime is 20452662132017. The reversal of 20452662132012 is 21023126625402.

20452662132012 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 2 + 6 + 621 + 3 + 20 + 1 + 2 = 666.

It is a super-2 number, since 2×204526621320122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20452662132017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3017058439 + ... + 3017065217.

It is an arithmetic number, because the mean of its divisors is an integer number (392006880720).

Almost surely, 220452662132012 is an apocalyptic number.

20452662132012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20452662132012 is an abundant number, since it is smaller than the sum of its proper divisors (35996328691668).

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

20452662132012 is a wasteful number, since it uses less digits than its factorization.

20452662132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12324 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 20452662132012 its reverse (21023126625402), we get a palindrome (41475788757414).

The spelling of 20452662132012 in words is "twenty trillion, four hundred fifty-two billion, six hundred sixty-two million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2663 2861 5326 5722 6779 7989 8583 10652 11444 13558 15978 17166 20337 23967 25749 27116 29293 31471 31956 34332 40674 47934 51498 58586 61011 62942 74569 81348 87879 94413 95868 102996 117172 122022 125884 149138 175758 188826 223707 244044 263637 283239 298276 351516 377652 447414 527274 566478 671121 894828 1054548 1132956 1342242 2684484 7618843 15237686 18052477 19394719 22856529 30475372 36104954 38789438 45713058 54157431 58184157 68569587 72209908 77578876 83807273 91426116 108314862 116368314 137139174 162472293 167614546 174552471 198577247 213341909 216629724 232736628 251421819 274278348 324944586 335229092 349104942 397154494 426683818 502843638 595731741 640025727 649889172 698209884 754265457 794308988 853367636 1005687276 1191463482 1280051454 1508530914 1787195223 1920077181 2382926964 2560102908 3017061828 3574390446 3840154362 7148780892 7680308724 51648136697 103296273394 154944410091 206592546788 309888820182 464833230273 568129503667 619777640364 929666460546 1136259007334 1704388511001 1859332921092 2272518014668 3408777022002 5113165533003 6817554044004 10226331066006 20452662132012