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2163166434 = 23211132928979
BaseRepresentation
bin1000000011101111…
…0100110011100010
312120202101020111100
42000323310303202
513412232311214
6554352055230
7104414416452
oct20073646342
95522336440
102163166434
11a10061a60
12504534516
13286206150
1416740dd62
15c9d93309
hex80ef4ce2

2163166434 has 96 divisors (see below), whose sum is σ = 5696308800. Its totient is φ = 584196480.

The previous prime is 2163166403. The next prime is 2163166457. The reversal of 2163166434 is 4346613612.

2163166434 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 1 + 6 + 643 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60157 + ... + 89135.

It is an arithmetic number, because the mean of its divisors is an integer number (59336550).

Almost surely, 22163166434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163166434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848154400).

2163166434 is an abundant number, since it is smaller than the sum of its proper divisors (3533142366).

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

2163166434 is a wasteful number, since it uses less digits than its factorization.

2163166434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29040 (or 29037 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2163166434 is about 46509.8530851260. The cubic root of 2163166434 is about 1293.2921607298.

The spelling of 2163166434 in words is "two billion, one hundred sixty-three million, one hundred sixty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 143 174 198 234 261 286 319 377 429 522 638 754 858 957 1131 1287 1914 2262 2574 2871 3393 4147 5742 6786 8294 12441 24882 28979 37323 57958 74646 86937 173874 260811 318769 376727 521622 637538 753454 840391 956307 1130181 1680782 1912614 2260362 2521173 2868921 3390543 4143997 5042346 5737842 6781086 7563519 8287994 9244301 10925083 12431991 15127038 18488602 21850166 24863982 27732903 32775249 37295973 55465806 65550498 74591946 83198709 98325747 120175913 166397418 196651494 240351826 360527739 721055478 1081583217 2163166434