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2868848346096 = 24354391680803
BaseRepresentation
bin101001101111110100101…
…011111100001111110000
3101011020222222021221200000
4221233310223330033300
5334000400134033341
610033533012230000
7414160510410135
oct51576453741760
911136888257600
102868848346096
11a06743111a67
123a400360b300
1317a6ba190575
149cbd28c458c
154e95a7448b6
hex29bf4afc3f0

2868848346096 has 120 divisors (see below), whose sum is σ = 8345124627840. Its totient is φ = 954103893696.

The previous prime is 2868848346079. The next prime is 2868848346097. The reversal of 2868848346096 is 6906438488682.

It is a happy number.

2868848346096 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 8 + 4 + 8 + 3 + 4 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868848346097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866431 + ... + 2547233.

It is an arithmetic number, because the mean of its divisors is an integer number (69542705232).

Almost surely, 22868848346096 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 2868848346096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172562313920).

2868848346096 is an abundant number, since it is smaller than the sum of its proper divisors (5476276281744).

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

2868848346096 is a wasteful number, since it uses less digits than its factorization.

2868848346096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681265 (or 1681247 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 2868848346096 in words is "two trillion, eight hundred sixty-eight billion, eight hundred forty-eight million, three hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 439 486 648 878 972 1296 1317 1756 1944 2634 3512 3888 3951 5268 7024 7902 10536 11853 15804 21072 23706 31608 35559 47412 63216 71118 94824 106677 142236 189648 213354 284472 426708 568944 853416 1680803 1706832 3361606 5042409 6723212 10084818 13446424 15127227 20169636 26892848 30254454 40339272 45381681 60508908 80678544 90763362 121017816 136145043 181526724 242035632 272290086 363053448 408435129 544580172 726106896 737872517 816870258 1089160344 1475745034 1633740516 2178320688 2213617551 2951490068 3267481032 4427235102 5902980136 6534962064 6640852653 8854470204 11805960272 13281705306 17708940408 19922557959 26563410612 35417880816 39845115918 53126821224 59767673877 79690231836 106253642448 119535347754 159380463672 179303021631 239070695508 318760927344 358606043262 478141391016 717212086524 956282782032 1434424173048 2868848346096