Search a number
-
+
20603282896 = 2476173109379
BaseRepresentation
bin10011001100000011…
…010010010111010000
31222011212201012210201
4103030003102113100
5314143420023041
613244235504544
71326366005110
oct231403222720
958155635721
1020603282896
11881301a429
123babbb8154
131c34682871
14dd6485040
15808bd6631
hex4cc0d25d0

20603282896 has 160 divisors (see below), whose sum is σ = 47561043200. Its totient is φ = 8465264640.

The previous prime is 20603282879. The next prime is 20603282941. The reversal of 20603282896 is 69828230602.

It is a happy number.

It is a super-2 number, since 2×206032828962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 54362035 + ... + 54362413.

It is an arithmetic number, because the mean of its divisors is an integer number (297256520).

Almost surely, 220603282896 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 20603282896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780521600).

20603282896 is an abundant number, since it is smaller than the sum of its proper divisors (26957760304).

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

20603282896 is a wasteful number, since it uses less digits than its factorization.

20603282896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 20603282896 in words is "twenty billion, six hundred three million, two hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 61 73 109 112 122 146 218 244 292 379 427 436 488 511 584 758 763 854 872 976 1022 1168 1516 1526 1708 1744 2044 2653 3032 3052 3416 4088 4453 5306 6064 6104 6649 6832 7957 8176 8906 10612 12208 13298 15914 17812 21224 23119 26596 27667 31171 31828 35624 41311 42448 46238 46543 53192 55334 55699 62342 63656 71248 82622 92476 93086 106384 110668 111398 124684 127312 161833 165244 184952 186172 193669 221336 222796 249368 289177 323666 330488 369904 372344 387338 442672 445592 485377 498736 578354 647332 660976 744688 774676 891184 970754 1156708 1294664 1549352 1687687 1941508 2313416 2519971 2589328 3015703 3098704 3375374 3397639 3883016 4626832 5039942 6031406 6750748 6795278 7766032 10079884 11813809 12062812 13501496 13590556 17639797 20159768 21109921 23627618 24125624 27002992 27181112 35279594 40319536 42219842 47255236 48251248 54362224 70559188 84439684 94510472 141118376 168879368 183957883 189020944 282236752 337758736 367915766 735831532 1287705181 1471663064 2575410362 2943326128 5150820724 10301641448 20603282896