Search a number
-
+
21933355158 = 232112131395573
BaseRepresentation
bin10100011011010101…
…000111000010010110
32002121120110212221100
4110123111013002112
5324404414331113
614024231530530
71404346304601
oct243325070226
962546425840
1021933355158
119335897400
124301529a46
1320b70b9680
1410c0d93338
15885866d73
hex51b547096

21933355158 has 144 divisors (see below), whose sum is σ = 56668182480. Its totient is φ = 6089973120.

The previous prime is 21933355127. The next prime is 21933355189. The reversal of 21933355158 is 85155333912.

21933355158 is a `hidden beast` number, since 2 + 1 + 93 + 3 + 3 + 551 + 5 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (21933355127) and next prime (21933355189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3932860 + ... + 3938432.

It is an arithmetic number, because the mean of its divisors is an integer number (393529045).

Almost surely, 221933355158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21933355158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28334091240).

21933355158 is an abundant number, since it is smaller than the sum of its proper divisors (34734827322).

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

21933355158 is a wasteful number, since it uses less digits than its factorization.

21933355158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5741 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 21933355158 in words is "twenty-one billion, nine hundred thirty-three million, three hundred fifty-five thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 139 143 198 234 242 278 286 363 417 429 726 834 858 1089 1251 1287 1529 1573 1807 2178 2502 2574 3058 3146 3614 4587 4719 5421 5573 9174 9438 10842 11146 13761 14157 16263 16719 16819 19877 27522 28314 32526 33438 33638 39754 50157 50457 59631 61303 72449 100314 100914 119262 122606 144898 151371 178893 183909 217347 218647 302742 357786 367818 434694 437294 551727 652041 655941 674333 774647 796939 1103454 1304082 1311882 1348666 1549294 1593878 1967823 2022999 2323941 2390817 3935646 4045998 4647882 4781634 6068997 6971823 7172451 8521117 8766329 10070411 12137994 13943646 14344902 17042234 17532658 20140822 25563351 26298987 30211233 51126702 52597974 60422466 76690053 78896961 90633699 93732287 110774521 153380106 157793922 181267398 187464574 221549042 281196861 332323563 562393722 664647126 843590583 996970689 1218519731 1687181166 1993941378 2437039462 3655559193 7311118386 10966677579 21933355158