Search a number
-
+
20420422032 = 2431759523811
BaseRepresentation
bin10011000001001001…
…101110100110010000
31221201010121220212010
4103001021232212100
5313310112001112
613214144302520
71322015503053
oct230111564620
957633556763
1020420422032
11872988334a
123b5a911a40
131c0581977a
14dba084a9a
157e7b1563c
hex4c126e990

20420422032 has 160 divisors (see below), whose sum is σ = 56981352960. Its totient is φ = 6278031360.

The previous prime is 20420422027. The next prime is 20420422067. The reversal of 20420422032 is 23022402402.

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, 25178907 + ... + 25179717.

It is an arithmetic number, because the mean of its divisors is an integer number (356133456).

Almost surely, 220420422032 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 20420422032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28490676480).

20420422032 is an abundant number, since it is smaller than the sum of its proper divisors (36560930928).

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

20420422032 is a wasteful number, since it uses less digits than its factorization.

20420422032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 20420422032 its reverse (23022402402), we get a palindrome (43442824434).

The spelling of 20420422032 in words is "twenty billion, four hundred twenty million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 59 68 102 118 136 177 204 236 272 354 408 472 523 708 811 816 944 1003 1046 1416 1569 1622 2006 2092 2433 2832 3009 3138 3244 4012 4184 4866 6018 6276 6488 8024 8368 8891 9732 12036 12552 12976 13787 16048 17782 19464 24072 25104 26673 27574 30857 35564 38928 41361 47849 48144 53346 55148 61714 71128 82722 92571 95698 106692 110296 123428 142256 143547 165444 185142 191396 213384 220592 246856 287094 330888 370284 382792 424153 426768 493712 524569 574188 661776 740568 765584 813433 848306 1049138 1148376 1272459 1481136 1573707 1626866 1696612 2098276 2296752 2440299 2544918 3147414 3253732 3393224 4196552 4880598 5089836 6294828 6507464 6786448 7210601 8393104 9761196 10179672 12589656 13014928 14421202 19522392 20359344 21631803 25025027 25179312 28842404 39044784 43263606 50050054 57684808 75075081 86527212 100100108 115369616 150150162 173054424 200200216 300300324 346108848 400400432 425425459 600600648 850850918 1201201296 1276276377 1701701836 2552552754 3403403672 5105105508 6806807344 10210211016 20420422032