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2116141092 = 22331310114923
BaseRepresentation
bin111111000100001…
…1100000000100100
312110110220002212000
41332020130000210
513313213003332
6545552125300
7103303621362
oct17610340044
95413802760
102116141092
1199656313a
124b0836830
1327954c9c0
1416108c632
15c5ba4b7c
hex7e21c024

2116141092 has 96 divisors (see below), whose sum is σ = 5967212160. Its totient is φ = 644630400.

The previous prime is 2116141087. The next prime is 2116141099. The reversal of 2116141092 is 2901416112.

2116141092 is a `hidden beast` number, since 2 + 1 + 161 + 410 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2116141099) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134343 + ... + 149265.

It is an arithmetic number, because the mean of its divisors is an integer number (62158460).

Almost surely, 22116141092 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 2116141092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983606080).

2116141092 is an abundant number, since it is smaller than the sum of its proper divisors (3851071068).

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

2116141092 is a wasteful number, since it uses less digits than its factorization.

2116141092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15050 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2116141092 is about 46001.5335831318. The cubic root of 2116141092 is about 1283.8517384930.

The spelling of 2116141092 in words is "two billion, one hundred sixteen million, one hundred forty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 101 108 117 156 202 234 303 351 404 468 606 702 909 1212 1313 1404 1818 2626 2727 3636 3939 5252 5454 7878 10908 11817 14923 15756 23634 29846 35451 44769 47268 59692 70902 89538 134307 141804 179076 193999 268614 387998 402921 537228 581997 775996 805842 1163994 1507223 1611684 1745991 2327988 3014446 3491982 4521669 5237973 6028892 6983964 9043338 10475946 13565007 18086676 19593899 20951892 27130014 39187798 40695021 54260028 58781697 78375596 81390042 117563394 162780084 176345091 235126788 352690182 529035273 705380364 1058070546 2116141092