Search a number
-
+
36645035323314 = 231143101839152377
BaseRepresentation
bin10000101010100000101100…
…10100000010111110110010
311210202020020111222211102010
420111100112110002332302
514300343013020321224
6205534255151503350
710501342064603205
oct1025202624027662
9153666214884363
1036645035323314
1110749088118a70
12413a078227b56
13175a7c5757642
149098b464593c
1543834c698e29
hex215416502fb2

36645035323314 has 128 divisors (see below), whose sum is σ = 82721213245440. Its totient is φ = 10726051392000.

The previous prime is 36645035323313. The next prime is 36645035323339. The reversal of 36645035323314 is 41332353054663.

It is a super-2 number, since 2×366450353233142 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36645035323313) 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 63 ways as a sum of consecutive naturals, for example, 240413094 + ... + 240565470.

It is an arithmetic number, because the mean of its divisors is an integer number (646259478480).

Almost surely, 236645035323314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36645035323314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41360606622720).

36645035323314 is an abundant number, since it is smaller than the sum of its proper divisors (46076177922126).

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

36645035323314 is a wasteful number, since it uses less digits than its factorization.

36645035323314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153376.

The product of its (nonzero) digits is 6998400, while the sum is 48.

Adding to 36645035323314 its reverse (41332353054663), we get a palindrome (77977388377977).

The spelling of 36645035323314 in words is "thirty-six trillion, six hundred forty-five billion, thirty-five million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 43 66 86 101 129 202 258 303 473 606 839 946 1111 1419 1678 2222 2517 2838 3333 4343 5034 6666 8686 9229 13029 18458 26058 27687 36077 47773 55374 72154 84739 95546 108231 143319 152377 169478 216462 254217 286638 304754 396847 457131 508434 793694 914262 932129 1190541 1676147 1864258 2381082 2796387 3352294 3643777 5028441 5592774 6552211 7287554 10056882 10931331 13104422 15390077 19656633 21862662 30780154 39313266 40081547 46170231 72074321 80163094 92340462 120244641 127844303 144148642 169290847 216222963 240489282 255688606 338581694 383532909 432445926 507872541 661773311 767065818 1015745082 1323546622 1406287333 1985319933 2812574666 3970639866 4218861999 5497305029 7279506421 8437723998 10994610058 12912274603 14559012842 16491915087 21838519263 25824549206 32983830174 38736823809 43677038526 60470355319 77473647618 120940710638 142035020633 181411065957 284070041266 362822131914 426105061899 555227807929 852210123798 1110455615858 1665683423787 3331366847574 6107505887219 12215011774438 18322517661657 36645035323314