Search a number
-
+
682019949888 = 2633974068943
BaseRepresentation
bin10011110110010111000…
…11101000110101000000
32102012102010212012211000
421323023203220311000
542133234101344023
61241152102252000
7100163042631234
oct11731343506500
92365363765730
10682019949888
11243274532952
12b021b127000
134c411403034
142501d3cc5c4
1512b1a840243
hex9ecb8e8d40

682019949888 has 112 divisors (see below), whose sum is σ = 2025683080960. Its totient is φ = 224996216832.

The previous prime is 682019949883. The next prime is 682019949889. The reversal of 682019949888 is 888949910286.

It is a happy number.

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 (682019949883) by changing a digit.

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, 1866856 + ... + 2202087.

It is an arithmetic number, because the mean of its divisors is an integer number (18086456080).

Almost surely, 2682019949888 is an apocalyptic number.

It is an amenable number.

682019949888 is an abundant number, since it is smaller than the sum of its proper divisors (1343663131072).

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

682019949888 is a wasteful number, since it uses less digits than its factorization.

682019949888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069061 (or 4069045 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 72.

The spelling of 682019949888 in words is "six hundred eighty-two billion, nineteen million, nine hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 288 291 388 432 576 582 776 864 873 1164 1552 1728 1746 2328 2619 3104 3492 4656 5238 6208 6984 9312 10476 13968 18624 20952 27936 41904 55872 83808 167616 4068943 8137886 12206829 16275772 24413658 32551544 36620487 48827316 65103088 73240974 97654632 109861461 130206176 146481948 195309264 219722922 260412352 292963896 390618528 394687471 439445844 585927792 781237056 789374942 878891688 1171855584 1184062413 1578749884 1757783376 2343711168 2368124826 3157499768 3515566752 3552187239 4736249652 6314999536 7031133504 7104374478 9472499304 10656561717 12629999072 14208748956 18944998608 21313123434 25259998144 28417497912 37889997216 42626246868 56834995824 75779994432 85252493736 113669991648 170504987472 227339983296 341009974944 682019949888