Search a number
-
+
2468112696 = 2332719125639
BaseRepresentation
bin1001001100011100…
…0110100100111000
320101000012010010100
42103013012210320
520023314101241
61044524115400
7115106416560
oct22307064470
96330163110
102468112696
111057204665
1258a695b60
1330444641a
14195b0dda0
15e6a2c9b6
hex931c6938

2468112696 has 96 divisors (see below), whose sum is σ = 7679692800. Its totient is φ = 701455680.

The previous prime is 2468112671. The next prime is 2468112719. The reversal of 2468112696 is 6962118642.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83445 + ... + 109083.

It is an arithmetic number, because the mean of its divisors is an integer number (79996800).

Almost surely, 22468112696 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 2468112696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839846400).

2468112696 is an abundant number, since it is smaller than the sum of its proper divisors (5211580104).

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

2468112696 is a wasteful number, since it uses less digits than its factorization.

2468112696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25849 (or 25842 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2468112696 is about 49680.1036230803. The cubic root of 2468112696 is about 1351.4137354641.

The spelling of 2468112696 in words is "two billion, four hundred sixty-eight million, one hundred twelve thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 191 252 382 504 573 764 1146 1337 1528 1719 2292 2674 3438 4011 4584 5348 6876 8022 10696 12033 13752 16044 24066 25639 32088 48132 51278 76917 96264 102556 153834 179473 205112 230751 307668 358946 461502 538419 615336 717892 923004 1076838 1435784 1615257 1846008 2153676 3230514 4307352 4897049 6461028 9794098 12922056 14691147 19588196 29382294 34279343 39176392 44073441 58764588 68558686 88146882 102838029 117529176 137117372 176293764 205676058 274234744 308514087 352587528 411352116 617028174 822704232 1234056348 2468112696