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2166771112 = 2311149257643
BaseRepresentation
bin1000000100100110…
…0100110110101000
312121000011101011221
42001021210312220
513414143133422
6555001231424
7104460151642
oct20111446650
95530141157
102166771112
11a120a4230
12505792574
13286b98aac
14167aab892
15ca3563c7
hex81264da8

2166771112 has 64 divisors (see below), whose sum is σ = 4486104000. Its totient is φ = 972963840.

The previous prime is 2166771109. The next prime is 2166771119. The reversal of 2166771112 is 2111776612.

It is not an unprimeable number, because it can be changed into a prime (2166771119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369463 + ... + 3370105.

It is an arithmetic number, because the mean of its divisors is an integer number (70095375).

Almost surely, 22166771112 is an apocalyptic number.

2166771112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166771112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243052000).

2166771112 is an abundant number, since it is smaller than the sum of its proper divisors (2319332888).

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

2166771112 is a wasteful number, since it uses less digits than its factorization.

2166771112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 2166771112 is about 46548.5887218936. The cubic root of 2166771112 is about 1294.0101382597.

The spelling of 2166771112 in words is "two billion, one hundred sixty-six million, seven hundred seventy-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 149 257 298 514 596 643 1028 1192 1286 1639 2056 2572 2827 3278 5144 5654 6556 7073 11308 13112 14146 22616 28292 38293 56584 76586 95807 153172 165251 191614 306344 330502 383228 421223 661004 766456 842446 1053877 1322008 1684892 1817761 2107754 3369784 3635522 4215508 7271044 8431016 14542088 24622399 49244798 98489596 196979192 270846389 541692778 1083385556 2166771112