Search a number
-
+
16655615100102 = 23111997587233267
BaseRepresentation
bin1111001001011111000000…
…0001011000010011000110
32011222021001110020200010010
43302113300001120103012
54140341144431200402
655231252311011050
73336220445303466
oct362276001302306
964867043220103
1016655615100102
115341674570910
121a4bb77969a86
1393a8052c8a74
144181c954bba6
151dd3b6546a6c
hexf25f00584c6

16655615100102 has 128 divisors (see below), whose sum is σ = 38712485468160. Its totient is φ = 4724140354560.

The previous prime is 16655615100079. The next prime is 16655615100139. The reversal of 16655615100102 is 20100151655661.

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 63 ways as a sum of consecutive naturals, for example, 71284873 + ... + 71518139.

It is an arithmetic number, because the mean of its divisors is an integer number (302441292720).

Almost surely, 216655615100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16655615100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19356242734080).

16655615100102 is an abundant number, since it is smaller than the sum of its proper divisors (22056870368058).

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

16655615100102 is a wasteful number, since it uses less digits than its factorization.

16655615100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233986.

The product of its (nonzero) digits is 54000, while the sum is 39.

Adding to 16655615100102 its reverse (20100151655661), we get a palindrome (36755766755763).

The spelling of 16655615100102 in words is "sixteen trillion, six hundred fifty-five billion, six hundred fifteen million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 97 114 194 209 291 418 582 587 627 1067 1174 1254 1761 1843 2134 3201 3522 3686 5529 6402 6457 11058 11153 12914 19371 20273 22306 33459 38742 40546 56939 60819 66918 113878 121638 122683 170817 233267 245366 341634 368049 466534 626329 699801 736098 1081841 1252658 1399602 1878987 2163682 2565937 3245523 3757974 4432073 5131874 6491046 7697811 8864146 11900251 13296219 15395622 22626899 23800502 26592438 35700753 45253798 48752803 67880697 71401506 97505606 135761394 136927729 146258409 248895889 273855458 292516818 410783187 429911081 497791778 746687667 821566374 859822162 1289733243 1493375334 1506205019 2579466486 2601626851 3012410038 4518615057 4729021891 5203253702 7804880553 9037230114 9458043782 13281989713 14187065673 15609761106 26563979426 28374131346 28617895361 39845969139 57235790722 79691938278 85853686083 146101886843 171707372166 252357804547 292203773686 438305660529 504715609094 757073413641 876611321058 1514146827282 2775935850017 5551871700034 8327807550051 16655615100102