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136215005652 = 22321110718117761
BaseRepresentation
bin111111011011100001…
…1000000100111010100
3111000121001120020121100
41332313003000213110
54212432020140102
6142324252150100
712561351305235
oct1766703004724
9430531506540
10136215005652
115284a901940
1222496168330
13caca67c97b
146842a8508c
1538237bba1c
hex1fb70c09d4

136215005652 has 144 divisors (see below), whose sum is σ = 381249820224. Its totient is φ = 40663296000.

The previous prime is 136215005539. The next prime is 136215005747. The reversal of 136215005652 is 256500512631.

136215005652 is a `hidden beast` number, since 1 + 36 + 21 + 500 + 56 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 7660452 + ... + 7678212.

It is an arithmetic number, because the mean of its divisors is an integer number (2647568196).

Almost surely, 2136215005652 is an apocalyptic number.

136215005652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136215005652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190624910112).

136215005652 is an abundant number, since it is smaller than the sum of its proper divisors (245034814572).

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

136215005652 is a wasteful number, since it uses less digits than its factorization.

136215005652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18070 (or 18065 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 136215005652 in words is "one hundred thirty-six billion, two hundred fifteen million, five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 181 198 214 321 362 396 428 543 642 724 963 1086 1177 1284 1629 1926 1991 2172 2354 3258 3531 3852 3982 4708 5973 6516 7062 7964 10593 11946 14124 17761 17919 19367 21186 23892 35522 35838 38734 42372 53283 58101 71044 71676 77468 106566 116202 159849 174303 195371 213037 213132 232404 319698 348606 390742 426074 586113 639111 639396 697212 781484 852148 1172226 1278222 1758339 1900427 1917333 2344452 2556444 3214741 3516678 3800854 3834666 5701281 6429482 7033356 7601708 7669332 9644223 11402562 12858964 17103843 19288446 20904697 22805124 28932669 34207686 35362151 38576892 41809394 57865338 62714091 68415372 70724302 83618788 106086453 115730676 125428182 141448604 188142273 212172906 250856364 318259359 343977287 376284546 424345812 636518718 687954574 752569092 1031931861 1273037436 1375909148 2063863722 3095795583 3783750157 4127727444 6191591166 7567500314 11351250471 12383182332 15135000628 22702500942 34053751413 45405001884 68107502826 136215005652