Search a number
-
+
21583104492 = 223191632712143
BaseRepresentation
bin10100000110011101…
…000000100111101100
32001201011102022100110
4110012131000213230
5323200233320432
613525400500020
71362564234615
oct240635004754
961634368313
1021583104492
119176110944
12422417a610
13205c676361
14108a65cc0c
15864c2ddcc
hex5067409ec

21583104492 has 96 divisors (see below), whose sum is σ = 53558149120. Its totient is φ = 6745757760.

The previous prime is 21583104469. The next prime is 21583104547. The reversal of 21583104492 is 29440138512.

It is a super-4 number, since 4×215831044924 (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21583104492.

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, 10070373 + ... + 10072515.

Almost surely, 221583104492 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 21583104492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26779074560).

21583104492 is an abundant number, since it is smaller than the sum of its proper divisors (31975044628).

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

21583104492 is a wasteful number, since it uses less digits than its factorization.

21583104492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 21583104492 in words is "twenty-one billion, five hundred eighty-three million, one hundred four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 163 228 271 326 489 542 652 813 978 1084 1626 1956 2143 3097 3252 4286 5149 6194 6429 8572 9291 10298 12388 12858 15447 18582 20596 25716 30894 37164 40717 44173 61788 81434 88346 122151 132519 162868 176692 244302 265038 349309 488604 530076 580753 698618 839287 1047927 1161506 1397236 1678574 1742259 2095854 2323012 2517861 3357148 3484518 4191708 5035722 6636871 6969036 10071444 11034307 13273742 19910613 22068614 26547484 33102921 39821226 44137228 66205842 79642452 94662739 132411684 189325478 283988217 378650956 567976434 1135952868 1798592041 3597184082 5395776123 7194368164 10791552246 21583104492