Search a number
-
+
116617785116 = 22719231372167
BaseRepresentation
bin110110010011011110…
…1100010111100011100
3102011000021221021220112
41230212331202330130
53402313123110431
6125323511505152
711265616550420
oct1544675427434
9364007837815
10116617785116
1145503777008
121a7270881b8
13acc657a7a1
145904088b80
1530780b2c2b
hex1b26f62f1c

116617785116 has 72 divisors (see below), whose sum is σ = 254098446336. Its totient is φ = 45821077920.

The previous prime is 116617785113. The next prime is 116617785139. The reversal of 116617785116 is 611587716611.

116617785116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1166177851162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116617785113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127265 + ... + 499431.

It is an arithmetic number, because the mean of its divisors is an integer number (3529145088).

Almost surely, 2116617785116 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 116617785116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127049223168).

116617785116 is an abundant number, since it is smaller than the sum of its proper divisors (137480661220).

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

116617785116 is a wasteful number, since it uses less digits than its factorization.

116617785116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372247 (or 372226 counting only the distinct ones).

The product of its digits is 423360, while the sum is 50.

The spelling of 116617785116 in words is "one hundred sixteen billion, six hundred seventeen million, seven hundred eighty-five thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 361 434 532 589 722 868 1178 1444 2356 2527 4123 5054 8246 10108 11191 16492 22382 44764 78337 156674 313348 372167 744334 1488668 2605169 5210338 7071173 10420676 11537177 14142346 23074354 28284692 46148708 49498211 80760239 98996422 134352287 161520478 197992844 219206363 268704574 323040956 438412726 537409148 876825452 940466009 1534444541 1880932018 3068889082 3761864036 4164920897 6137778164 8329841794 16659683588 29154446279 58308892558 116617785116