Search a number
-
+
2859409796896 = 2517291631111967
BaseRepresentation
bin101001100111000010000…
…110101110111100100000
3101010100122011222222020201
4221213002012232330200
5333322032402000041
610025332243314544
7413404561151032
oct51470206567440
911110564888221
102859409796896
11a0273a316284
123a220a67ba54
131798448c2603
149c579151c52
154e5a6cdc631
hex299c21aef20

2859409796896 has 96 divisors (see below), whose sum is σ = 6203980823040. Its totient is φ = 1291232710656.

The previous prime is 2859409796849. The next prime is 2859409796939. The reversal of 2859409796896 is 6986979049582.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2015505 + ... + 3127471.

It is an arithmetic number, because the mean of its divisors is an integer number (64624800240).

Almost surely, 22859409796896 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 2859409796896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101990411520).

2859409796896 is an abundant number, since it is smaller than the sum of its proper divisors (3344571026144).

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

2859409796896 is a wasteful number, since it uses less digits than its factorization.

2859409796896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112186 (or 1112178 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 82.

The spelling of 2859409796896 in words is "two trillion, eight hundred fifty-nine billion, four hundred nine million, seven hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 163 232 272 326 464 493 544 652 928 986 1304 1972 2608 2771 3944 4727 5216 5542 7888 9454 11084 15776 18908 22168 37816 44336 75632 80359 88672 151264 160718 321436 642872 1111967 1285744 2223934 2571488 4447868 8895736 17791472 18903439 32247043 35582944 37806878 64494086 75613756 128988172 151227512 181250621 257976344 302455024 362501242 515952688 548199731 604910048 725002484 1031905376 1096399462 1450004968 2192798924 2900009936 3081260557 4385597848 5256268009 5800019872 6162521114 8771195696 10512536018 12325042228 17542391392 21025072036 24650084456 42050144072 49300168912 84100288144 89356556153 98600337824 168200576288 178713112306 357426224612 714852449224 1429704898448 2859409796896