Search a number
-
+
20858465456 = 24432532251
BaseRepresentation
bin10011011011010000…
…101110110010110000
31222211122212211110122
4103123100232302300
5320204231343311
613325433145412
71335615013433
oct233320566260
958748784418
1020858465456
118934072904
12406155b268
131c754bb16a
14101c30d81a
158212e10db
hex4db42ecb0

20858465456 has 90 divisors (see below), whose sum is σ = 42338376108. Its totient is φ = 9954672000.

The previous prime is 20858465447. The next prime is 20858465461. The reversal of 20858465456 is 65456485802.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 20858465398 and 20858465407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83101331 + ... + 83101581.

Almost surely, 220858465456 is an apocalyptic number.

It is an amenable number.

20858465456 is an abundant number, since it is smaller than the sum of its proper divisors (21479910652).

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

20858465456 is an equidigital number, since it uses as much as digits as its factorization.

20858465456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 53.

The spelling of 20858465456 in words is "twenty billion, eight hundred fifty-eight million, four hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 43 53 86 106 172 212 251 344 424 502 688 848 1004 1849 2008 2279 2809 3698 4016 4558 5618 7396 9116 10793 11236 13303 14792 18232 21586 22472 26606 29584 36464 43172 44944 53212 86344 97997 106424 120787 172688 195994 212848 241574 391988 464099 483148 572029 705059 783976 928198 966296 1144058 1410118 1567952 1856396 1932592 2288116 2820236 3712792 4576232 5193841 5640472 7425584 9152464 10387682 11280944 20775364 24597247 30317537 41550728 49194494 60635074 83101456 98388988 121270148 196777976 242540296 393555952 485080592 1303654091 2607308182 5214616364 10429232728 20858465456