Search a number
-
+
12158754144 = 2531763111807
BaseRepresentation
bin10110101001011011…
…11101110101100000
31011101100211201002120
423110231331311200
5144400120113034
65330300144240
7610206463545
oct132455756540
934340751076
1012158754144
11517a332a49
122433b38080
1311ba00a1a4
14834b44bcc
154b267dc49
hex2d4b7dd60

12158754144 has 96 divisors (see below), whose sum is σ = 33850607616. Its totient is φ = 3808143360.

The previous prime is 12158754131. The next prime is 12158754197. The reversal of 12158754144 is 44145785121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12158754096 and 12158754105.

It is a congruent number.

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, 1023889 + ... + 1035695.

It is an arithmetic number, because the mean of its divisors is an integer number (352610496).

Almost surely, 212158754144 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 12158754144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925303808).

12158754144 is an abundant number, since it is smaller than the sum of its proper divisors (21691853472).

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

12158754144 is a wasteful number, since it uses less digits than its factorization.

12158754144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468 (or 12460 counting only the distinct ones).

The product of its digits is 179200, while the sum is 42.

The spelling of 12158754144 in words is "twelve billion, one hundred fifty-eight million, seven hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 631 816 1262 1632 1893 2524 3786 5048 7572 10096 10727 11807 15144 20192 21454 23614 30288 32181 35421 42908 47228 60576 64362 70842 85816 94456 128724 141684 171632 188912 200719 257448 283368 343264 377824 401438 514896 566736 602157 802876 1029792 1133472 1204314 1605752 2408628 3211504 4817256 6423008 7450217 9634512 14900434 19269024 22350651 29800868 44701302 59601736 89402604 119203472 126653689 178805208 238406944 253307378 357610416 379961067 506614756 715220832 759922134 1013229512 1519844268 2026459024 3039688536 4052918048 6079377072 12158754144