Search a number
-
+
21652614506120 = 23513971393088307
BaseRepresentation
bin1001110110001011001000…
…11001010110011010001000
32211122222011221012211101212
410323011210121112122020
510314224023303143440
6114015023534232252
74363230654400343
oct473054431263210
984588157184355
1021652614506120
116998905451734
122518508955688
13c10aa982b320
1454bdc65b545a
1527837a608465
hex13b164656688

21652614506120 has 128 divisors (see below), whose sum is σ = 53388198057600. Its totient is φ = 7855464554496.

The previous prime is 21652614506119. The next prime is 21652614506293. The reversal of 21652614506120 is 2160541625612.

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, 5467007 + ... + 8555313.

It is an arithmetic number, because the mean of its divisors is an integer number (417095297325).

Almost surely, 221652614506120 is an apocalyptic number.

21652614506120 is a gapful number since it is divisible by the number (20) 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 21652614506120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26694099028800).

21652614506120 is an abundant number, since it is smaller than the sum of its proper divisors (31735583551480).

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

21652614506120 is a wasteful number, since it uses less digits than its factorization.

21652614506120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088567 (or 3088563 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 21652614506120 in words is "twenty-one trillion, six hundred fifty-two billion, six hundred fourteen million, five hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 97 104 130 139 194 260 278 388 485 520 556 695 776 970 1112 1261 1390 1807 1940 2522 2780 3614 3880 5044 5560 6305 7228 9035 10088 12610 13483 14456 18070 25220 26966 36140 50440 53932 67415 72280 107864 134830 175279 269660 350558 539320 701116 876395 1402232 1752790 3088307 3505580 6176614 7011160 12353228 15441535 24706456 30883070 40147991 61766140 80295982 123532280 160591964 200739955 299565779 321183928 401479910 429274673 599131558 802959820 858549346 1198263116 1497828895 1605919640 1717098692 2146373365 2396526232 2995657790 3434197384 3894355127 4292746730 5580570749 5991315580 7788710254 8585493460 11161141498 11982631160 15577420508 17170986920 19471775635 22322282996 27902853745 31154841016 38943551270 41639643281 44644565992 55805707490 77887102540 83279286562 111611414980 155774205080 166558573124 208198216405 223222829960 333117146248 416396432810 541315362653 832792865620 1082630725306 1665585731240 2165261450612 2706576813265 4330522901224 5413153626530 10826307253060 21652614506120