Search a number
-
+
119697675664 = 24723314136559
BaseRepresentation
bin110111101111010001…
…0011001010110010000
3102102221221021221110211
41233132202121112100
53430120101110124
6130553252333504
711435135312230
oct1573642312620
9372857257424
10119697675664
11468442433a6
121b246614294
13b397684628
145b17129cc0
1531a8687e94
hex1bde899590

119697675664 has 160 divisors (see below), whose sum is σ = 292461281280. Its totient is φ = 46326297600.

The previous prime is 119697675659. The next prime is 119697675703. The reversal of 119697675664 is 466576796911.

It is a self number, because there is not a number n which added to its sum of digits gives 119697675664.

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 31 ways as a sum of consecutive naturals, for example, 3255817 + ... + 3292375.

It is an arithmetic number, because the mean of its divisors is an integer number (1827883008).

Almost surely, 2119697675664 is an apocalyptic number.

119697675664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119697675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146230640640).

119697675664 is an abundant number, since it is smaller than the sum of its proper divisors (172763605616).

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

119697675664 is a wasteful number, since it uses less digits than its factorization.

119697675664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36669 (or 36663 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 67.

The spelling of 119697675664 in words is "one hundred nineteen billion, six hundred ninety-seven million, six hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 41 46 56 62 82 92 112 124 161 164 184 217 248 287 322 328 368 434 496 574 644 656 713 868 943 1148 1271 1288 1426 1736 1886 2296 2542 2576 2852 3472 3772 4592 4991 5084 5704 6601 7544 8897 9982 10168 11408 13202 15088 17794 19964 20336 26404 29233 35588 36559 39928 52808 58466 71176 73118 79856 105616 116932 142352 146236 204631 233864 255913 292472 409262 467728 511826 584944 818524 840857 1023652 1133329 1498919 1637048 1681714 2047304 2266658 2997838 3274096 3363428 4094608 4533316 5885999 5995676 6726856 7933303 9066632 10492433 11771998 11991352 13453712 15866606 18133264 20984866 23543996 23982704 26066567 31733212 34475137 41969732 46466489 47087992 52133134 63466424 68950274 83939464 92932978 94175984 104266268 126932848 137900548 167878928 182465969 185865956 208532536 241325959 275801096 325265423 364931938 371731912 417065072 482651918 551602192 650530846 729863876 743463824 965303836 1068729247 1301061692 1459727752 1930607672 2137458494 2602123384 2919455504 3861215344 4274916988 5204246768 7481104729 8549833976 14962209458 17099667952 29924418916 59848837832 119697675664