Search a number
-
+
116561566110 = 235119714924439
BaseRepresentation
bin110110010001110011…
…1000101100110011110
3102010212101011001221010
41230203213011212132
53402204230103420
6125314142520050
711264334651543
oct1544347054636
9363771131833
10116561566110
1145484a68920
121a710296026
13acb7a257c2
1458da812bca
1530731aa4e0
hex1b239c599e

116561566110 has 128 divisors (see below), whose sum is σ = 310407552000. Its totient is φ = 27777208320.

The previous prime is 116561566067. The next prime is 116561566123. The reversal of 116561566110 is 11665165611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4757271 + ... + 4781709.

It is an arithmetic number, because the mean of its divisors is an integer number (2425059000).

Almost surely, 2116561566110 is an apocalyptic number.

116561566110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116561566110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155203776000).

116561566110 is an abundant number, since it is smaller than the sum of its proper divisors (193845985890).

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

116561566110 is a wasteful number, since it uses less digits than its factorization.

116561566110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24706.

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 116561566110 in words is "one hundred sixteen billion, five hundred sixty-one million, five hundred sixty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 149 165 194 291 298 330 447 485 582 745 894 970 1067 1455 1490 1639 2134 2235 2910 3201 3278 4470 4917 5335 6402 8195 9834 10670 14453 16005 16390 24439 24585 28906 32010 43359 48878 49170 72265 73317 86718 122195 144530 146634 158983 216795 244390 268829 317966 366585 433590 476949 537658 733170 794915 806487 953898 1344145 1589830 1612974 2370583 2384745 2688290 3641411 4032435 4741166 4769490 7111749 7282822 8064870 10924233 11852915 14223498 18207055 21848466 23705830 26076413 35558745 36414110 40055521 52152826 54621165 71117490 78229239 80111042 109242330 120166563 130382065 156458478 200277605 240333126 260764130 353216867 391146195 400555210 600832815 706433734 782292390 1059650601 1201665630 1766084335 2119301202 3532168670 3885385537 5298253005 7770771074 10596506010 11656156611 19426927685 23312313222 38853855370 58280783055 116561566110