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2116477116 = 2232134796221
BaseRepresentation
bin111111000100110…
…1110000010111100
312110111112011210100
41332021232002330
513313304231431
6550003241100
7103306521135
oct17611560274
95414464710
102116477116
11996772646
124b0979190
13279639930
14161138c8c
15c5c1e4e6
hex7e26e0bc

2116477116 has 72 divisors (see below), whose sum is σ = 5884167744. Its totient is φ = 637361280.

The previous prime is 2116477081. The next prime is 2116477123. The reversal of 2116477116 is 6117746112.

2116477116 is a `hidden beast` number, since 2 + 1 + 1 + 647 + 7 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26115 + ... + 70106.

It is an arithmetic number, because the mean of its divisors is an integer number (81724552).

Almost surely, 22116477116 is an apocalyptic number.

2116477116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2116477116 is an abundant number, since it is smaller than the sum of its proper divisors (3767690628).

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

2116477116 is a wasteful number, since it uses less digits than its factorization.

2116477116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96291 (or 96286 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2116477116 is about 46005.1857511737. The cubic root of 2116477116 is about 1283.9196895645.

The spelling of 2116477116 in words is "two billion, one hundred sixteen million, four hundred seventy-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3666 5499 7332 10998 21996 96221 192442 288663 384884 577326 865989 1154652 1250873 1731978 2501746 3463956 3752619 4522387 5003492 7505238 9044774 11257857 13567161 15010476 18089548 22515714 27134322 40701483 45031428 54268644 58791031 81402966 117582062 162805932 176373093 235164124 352746186 529119279 705492372 1058238558 2116477116