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2106776012 = 221131959353
BaseRepresentation
bin111110110010010…
…1101100111001100
312102211021022101012
41331210231213030
513303313313022
6545015304352
7103131205055
oct17544554714
95384238335
102106776012
11991247000
124a967b0b8
13277621133
1415db3172c
15c4e54de2
hex7d92d9cc

2106776012 has 96 divisors (see below), whose sum is σ = 4353350400. Its totient is φ = 889320960.

The previous prime is 2106775973. The next prime is 2106776033.

2106776012 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2106776012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5968028 + ... + 5968380.

It is an arithmetic number, because the mean of its divisors is an integer number (45347400).

Almost surely, 22106776012 is an apocalyptic number.

2106776012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2106776012 is an abundant number, since it is smaller than the sum of its proper divisors (2246574388).

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

2106776012 is a wasteful number, since it uses less digits than its factorization.

2106776012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 2106776012 is about 45899.6297588554. The cubic root of 2106776012 is about 1281.9550227073.

It can be divided in two parts, 21067 and 76012, that added together give a palindrome (97079).

The spelling of 2106776012 in words is "two billion, one hundred six million, seven hundred seventy-six thousand, twelve".

Divisors: 1 2 4 11 19 22 38 44 59 76 118 121 209 236 242 353 418 484 649 706 836 1121 1298 1331 1412 2242 2299 2596 2662 3883 4484 4598 5324 6707 7139 7766 9196 12331 13414 14278 15532 20827 24662 25289 26828 28556 41654 42713 49324 50578 73777 78529 83308 85426 101156 135641 147554 157058 170852 229097 271282 295108 314116 395713 458194 469843 542564 791426 811547 916388 939686 1492051 1582852 1623094 1879372 2520067 2984102 3246188 4352843 5040134 5968204 8705686 8927017 10080268 17411372 17854034 27720737 35708068 47881273 55441474 95762546 110882948 191525092 526694003 1053388006 2106776012