Search a number
-
+
21728521836 = 2234761157057
BaseRepresentation
bin10100001111000111…
…101110111001101100
32002002022001021110000
4110033013232321230
5324000000144321
613552033344300
71366311250110
oct241707567154
962068037400
1021728521836
11924020306a
124264a08090
13208382c418
1410a1ab3740
158728a5826
hex50f1eee6c

21728521836 has 120 divisors (see below), whose sum is σ = 65981950496. Its totient is φ = 6106337280.

The previous prime is 21728521819. The next prime is 21728521853. The reversal of 21728521836 is 63812582712.

21728521836 is a `hidden beast` number, since 21 + 7 + 28 + 521 + 83 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21728521819) and next prime (21728521853).

It is a super-2 number, since 2×217285218362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21728521791 and 21728521800.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59820 + ... + 216876.

Almost surely, 221728521836 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 21728521836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32990975248).

21728521836 is an abundant number, since it is smaller than the sum of its proper divisors (44253428660).

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

21728521836 is a wasteful number, since it uses less digits than its factorization.

21728521836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157141 (or 157130 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

It can be divided in two parts, 217285 and 21836, that added together give a square (239121 = 4892).

The spelling of 21728521836 in words is "twenty-one billion, seven hundred twenty-eight million, five hundred twenty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 244 252 324 366 378 427 549 567 732 756 854 1098 1134 1281 1647 1708 2196 2268 2562 3294 3843 4941 5124 6588 7686 9882 11529 15372 19764 23058 34587 46116 69174 138348 157057 314114 471171 628228 942342 1099399 1413513 1884684 2198798 2827026 3298197 4240539 4397596 5654052 6596394 8481078 9580477 9894591 12721617 13192788 16962156 19160954 19789182 25443234 28741431 29683773 38321908 39578364 50886468 57482862 59367546 67063339 86224293 89051319 114965724 118735092 134126678 172448586 178102638 201190017 258672879 268253356 344897172 356205276 402380034 517345758 603570051 776018637 804760068 1034691516 1207140102 1552037274 1810710153 2414280204 3104074548 3621420306 5432130459 7242840612 10864260918 21728521836