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8434486896 = 24311174719993
BaseRepresentation
bin1111101101011110…
…00000111001110000
3210202210222022212120
413312233000321300
5114233212040041
63512540154240
7416004645543
oct76657007160
923683868776
108434486896
113639058930
121774838980
13a4556aa64
145a028885a
15345722366
hex1f6bc0e70

8434486896 has 160 divisors (see below), whose sum is σ = 25704926208. Its totient is φ = 2354257920.

The previous prime is 8434486843. The next prime is 8434486909. The reversal of 8434486896 is 6986844348.

It is a super-2 number, since 2×84344868962 (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, 411876 + ... + 431868.

Almost surely, 28434486896 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 8434486896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852463104).

8434486896 is an abundant number, since it is smaller than the sum of its proper divisors (17270439312).

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

8434486896 is a wasteful number, since it uses less digits than its factorization.

8434486896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20079 (or 20073 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The square root of 8434486896 is about 91839.4626290899. The cubic root of 8434486896 is about 2035.5708481100.

The spelling of 8434486896 in words is "eight billion, four hundred thirty-four million, four hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 47 48 51 66 68 88 94 102 132 136 141 176 187 188 204 264 272 282 374 376 408 517 528 561 564 748 752 799 816 1034 1122 1128 1496 1551 1598 2068 2244 2256 2397 2992 3102 3196 4136 4488 4794 6204 6392 8272 8789 8976 9588 12408 12784 17578 19176 19993 24816 26367 35156 38352 39986 52734 59979 70312 79972 105468 119958 140624 159944 210936 219923 239916 319888 339881 421872 439846 479832 659769 679762 879692 939671 959664 1019643 1319538 1359524 1759384 1879342 2039286 2639076 2719048 2819013 3518768 3738691 3758684 4078572 5278152 5438096 5638026 7477382 7517368 8157144 10336381 10556304 11216073 11276052 14954764 15034736 15974407 16314288 20672762 22432146 22552104 29909528 31009143 31948814 41345524 44864292 45104208 47923221 59819056 62018286 63897628 82691048 89728584 95846442 124036572 127795256 165382096 175718477 179457168 191692884 248073144 255590512 351436954 383385768 496146288 527155431 702873908 766771536 1054310862 1405747816 2108621724 2811495632 4217243448 8434486896