Search a number
-
+
196982751744 = 2936527753
BaseRepresentation
bin1011011101110100010…
…1100100001000000000
3200211110001210121000000
42313131011210020000
511211410041023434
6230254224000000
720142262522602
oct2673505441000
9624401717000
10196982751744
11765a369a9a9
1232215160000
13157631a8b8c
1497694a9172
1551cd624b99
hex2ddd164200

196982751744 has 140 divisors (see below), whose sum is σ = 590102329806. Its totient is φ = 65660792832.

The previous prime is 196982751743. The next prime is 196982751773. The reversal of 196982751744 is 447157289691.

196982751744 is a `hidden beast` number, since 1 + 9 + 6 + 98 + 27 + 517 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192264710400 + 4718041344 = 438480^2 + 68688^2 .

It is not an unprimeable number, because it can be changed into a prime (196982751743) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 109372 + ... + 637124.

Almost surely, 2196982751744 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 196982751744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295051164903).

196982751744 is an abundant number, since it is smaller than the sum of its proper divisors (393119578062).

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

196982751744 is an frugal number, since it uses more digits than its factorization.

196982751744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527789 (or 527758 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 196982751744 in words is "one hundred ninety-six billion, nine hundred eighty-two million, seven hundred fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 31104 41472 46656 62208 93312 124416 186624 373248 527753 1055506 1583259 2111012 3166518 4222024 4749777 6333036 8444048 9499554 12666072 14249331 16888096 18999108 25332144 28498662 33776192 37998216 42747993 50664288 56997324 67552384 75996432 85495986 101328576 113994648 128243979 135104768 151992864 170991972 202657152 227989296 256487958 270209536 303985728 341983944 384731937 405314304 455978592 512975916 607971456 683967888 769463874 810628608 911957184 1025951832 1215942912 1367935776 1538927748 1823914368 2051903664 2431885824 2735871552 3077855496 3647828736 4103807328 5471743104 6155710992 7295657472 8207614656 10943486208 12311421984 16415229312 21886972416 24622843968 32830458624 49245687936 65660917248 98491375872 196982751744