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20442777824 = 257831099547
BaseRepresentation
bin10011000010011111…
…000000100011100000
31221202200200201020102
4103002133000203200
5313331322342244
613220303401532
71322406513230
oct230237004340
957680621212
1020442777824
118740462607
123b662b32a8
131c0a346251
14dbd023cc0
157e9a7e54e
hex4c27c08e0

20442777824 has 48 divisors (see below), whose sum is σ = 46550464128. Its totient is φ = 8655626112.

The previous prime is 20442777779. The next prime is 20442777827. The reversal of 20442777824 is 42877724402.

It is a super-2 number, since 2×204427778242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442777827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531182 + ... + 568365.

It is an arithmetic number, because the mean of its divisors is an integer number (969801336).

Almost surely, 220442777824 is an apocalyptic number.

It is an amenable number.

20442777824 is an abundant number, since it is smaller than the sum of its proper divisors (26107686304).

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

20442777824 is a wasteful number, since it uses less digits than its factorization.

20442777824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099647 (or 1099639 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 47.

The spelling of 20442777824 in words is "twenty billion, four hundred forty-two million, seven hundred seventy-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1328 2324 2656 4648 9296 18592 1099547 2199094 4398188 7696829 8796376 15393658 17592752 30787316 35185504 61574632 91262401 123149264 182524802 246298528 365049604 638836807 730099208 1277673614 1460198416 2555347228 2920396832 5110694456 10221388912 20442777824