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36122266404 = 223271934921617
BaseRepresentation
bin100001101001000011…
…100000101100100100
310110020102102021000200
4201221003200230210
51042434300011104
624332213310500
72416100125020
oct415103405444
9113212367020
1036122266404
1114357094434
127001335430
13353889c543
141a695a3380
15e16363b39
hex8690e0b24

36122266404 has 144 divisors (see below), whose sum is σ = 110165328000. Its totient is φ = 9748988928.

The previous prime is 36122266387. The next prime is 36122266447. The reversal of 36122266404 is 40466222163.

36122266404 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 2 + 2 + 6 + 640 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1660204 + ... + 1681820.

It is an arithmetic number, because the mean of its divisors is an integer number (765037000).

Almost surely, 236122266404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36122266404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55082664000).

36122266404 is an abundant number, since it is smaller than the sum of its proper divisors (74043061596).

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

36122266404 is a wasteful number, since it uses less digits than its factorization.

36122266404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22002 (or 21997 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 36122266404 its reverse (40466222163), we get a palindrome (76588488567).

The spelling of 36122266404 in words is "thirty-six billion, one hundred twenty-two million, two hundred sixty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 349 399 532 684 698 798 1047 1197 1396 1596 2094 2394 2443 3141 4188 4788 4886 6282 6631 7329 9772 12564 13262 14658 19893 21617 21987 26524 29316 39786 43234 43974 46417 59679 64851 79572 86468 87948 92834 119358 129702 139251 151319 185668 194553 238716 259404 278502 302638 389106 410723 417753 453957 557004 605276 778212 821446 835506 907914 1232169 1361871 1642892 1671012 1815828 2464338 2723742 2875061 3696507 4928676 5447484 5750122 7393014 7544333 8625183 11500244 14786028 15088666 17250366 22632999 25875549 30177332 34500732 45265998 51751098 52810331 67898997 90531996 103502196 105620662 135797994 143342327 158430993 211241324 271595988 286684654 316861986 430026981 475292979 573369308 633723972 860053962 950585958 1003396289 1290080943 1720107924 1901171916 2006792578 2580161886 3010188867 4013585156 5160323772 6020377734 9030566601 12040755468 18061133202 36122266404