Search a number
-
+
36211005204 = 223119710128001
BaseRepresentation
bin100001101110010110…
…000001011100010100
310110110121101122202220
4201232112001130110
51043130004131304
624345103302340
72421225315513
oct415626013424
9113417348686
1036211005204
11143a2194190
127026baa9b0
13355109c3ca
141a772a267a
15e1e041ad9
hex86e581714

36211005204 has 96 divisors (see below), whose sum is σ = 94049085312. Its totient is φ = 10752000000.

The previous prime is 36211005161. The next prime is 36211005211. The reversal of 36211005204 is 40250011263.

It is a super-2 number, since 2×362110052042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 1279204 + ... + 1307204.

It is an arithmetic number, because the mean of its divisors is an integer number (979677972).

Almost surely, 236211005204 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 36211005204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47024542656).

36211005204 is an abundant number, since it is smaller than the sum of its proper divisors (57838080108).

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

36211005204 is a wasteful number, since it uses less digits than its factorization.

36211005204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28217 (or 28215 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 36211005204 its reverse (40250011263), we get a palindrome (76461016467).

The spelling of 36211005204 in words is "thirty-six billion, two hundred eleven million, five thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 101 132 194 202 291 303 388 404 582 606 1067 1111 1164 1212 2134 2222 3201 3333 4268 4444 6402 6666 9797 12804 13332 19594 28001 29391 39188 56002 58782 84003 107767 112004 117564 168006 215534 308011 323301 336012 431068 616022 646602 924033 1232044 1293204 1848066 2716097 2828101 3696132 5432194 5656202 8148291 8484303 10864388 11312404 16296582 16968606 29877067 31109111 32593164 33937212 59754134 62218222 89631201 93327333 119508268 124436444 179262402 186654666 274325797 358524804 373309332 548651594 822977391 1097303188 1645954782 3017583767 3291909564 6035167534 9052751301 12070335068 18105502602 36211005204