Search a number
-
+
36804050135136 = 2533231852055663
BaseRepresentation
bin10000101111001000111000…
…10101011010100001100000
311211022102200112102020022000
420113210130111122201200
514310444143313311021
6210135314111044000
710516001446315524
oct1027443425324140
9154272615366260
1036804050135136
11107aa567904719
124164a55b10600
13176c7b7871b7b
1491347b385d84
1543c5578cdb26
hex21791c55a860

36804050135136 has 96 divisors (see below), whose sum is σ = 112012326558720. Its totient is φ = 11734624674432.

The previous prime is 36804050135101. The next prime is 36804050135137. The reversal of 36804050135136 is 63153105040863.

36804050135136 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 4 + 0 + 501 + 3 + 5 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 36804050135091 and 36804050135100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36804050135137) 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 15 ways as a sum of consecutive naturals, for example, 926007960 + ... + 926047703.

It is an arithmetic number, because the mean of its divisors is an integer number (1166795068320).

Almost surely, 236804050135136 is an apocalyptic number.

36804050135136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36804050135136 is an abundant number, since it is smaller than the sum of its proper divisors (75208276423584).

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

36804050135136 is a wasteful number, since it uses less digits than its factorization.

36804050135136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852055705 (or 1852055691 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 36804050135136 its reverse (63153105040863), we get a palindrome (99957155175999).

The spelling of 36804050135136 in words is "thirty-six trillion, eight hundred four billion, fifty million, one hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 1852055663 3704111326 5556166989 7408222652 11112333978 14816445304 16668500967 22224667956 29632890608 33337001934 42597280249 44449335912 50005502901 59265781216 66674003868 85194560498 88898671824 100011005802 127791840747 133348007736 170389120996 177797343648 200022011604 255583681494 266696015472 340778241992 383375522241 400044023208 511167362988 533392030944 681556483984 766751044482 800088046416 1022334725976 1150126566723 1363112967968 1533502088964 1600176092832 2044669451952 2300253133446 3067004177928 4089338903904 4600506266892 6134008355856 9201012533784 12268016711712 18402025067568 36804050135136