Search a number
-
+
21728561360 = 24511157157271
BaseRepresentation
bin10100001111000111…
…111000100011010000
32002002022010021122212
4110033013320203100
5324000002430420
613552034251252
71366311503252
oct241707704320
962068107585
1021728561360
11924022a830
124264a26b28
1320838443cc
1410a1ac3cd2
158728b23c5
hex50f1f88d0

21728561360 has 80 divisors (see below), whose sum is σ = 55462914432. Its totient is φ = 7850918400.

The previous prime is 21728561353. The next prime is 21728561377. The reversal of 21728561360 is 6316582712.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59525 + ... + 216795.

Almost surely, 221728561360 is an apocalyptic number.

21728561360 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 21728561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27731457216).

21728561360 is an abundant number, since it is smaller than the sum of its proper divisors (33734353072).

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

21728561360 is a wasteful number, since it uses less digits than its factorization.

21728561360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157452 (or 157446 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 21728561360 in words is "twenty-one billion, seven hundred twenty-eight million, five hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 157 176 220 314 440 628 785 880 1256 1570 1727 2512 3140 3454 6280 6908 8635 12560 13816 17270 27632 34540 69080 138160 157271 314542 629084 786355 1258168 1572710 1729981 2516336 3145420 3459962 6290840 6919924 8649905 12581680 13839848 17299810 24691547 27679696 34599620 49383094 69199240 98766188 123457735 138398480 197532376 246915470 271607017 395064752 493830940 543214034 987661880 1086428068 1358035085 1975323760 2172856136 2716070170 4345712272 5432140340 10864280680 21728561360