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2105555676 = 2237211633079
BaseRepresentation
bin111110110000000…
…0011101011011100
312102201222022101120
41331200003223130
513303010240201
6544533210540
7103114633200
oct17540035334
95381868346
102105555676
11990593164
124a9190a50
132772b4843
1415d8d4b00
15c4cb3536
hex7d803adc

2105555676 has 72 divisors (see below), whose sum is σ = 5721851520. Its totient is φ = 600874848.

The previous prime is 2105555671. The next prime is 2105555687. The reversal of 2105555676 is 6765555012.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105555671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682305 + ... + 685383.

It is an arithmetic number, because the mean of its divisors is an integer number (79470160).

Almost surely, 22105555676 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 2105555676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860925760).

2105555676 is an abundant number, since it is smaller than the sum of its proper divisors (3616295844).

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

2105555676 is a wasteful number, since it uses less digits than its factorization.

2105555676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The square root of 2105555676 is about 45886.3343055424. The cubic root of 2105555676 is about 1281.7074535919.

The spelling of 2105555676 in words is "two billion, one hundred five million, five hundred fifty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1163 2326 3079 3489 4652 6158 6978 8141 9237 12316 13956 16282 18474 21553 24423 32564 36948 43106 48846 56987 64659 86212 97692 113974 129318 150871 170961 227948 258636 301742 341922 452613 603484 683844 905226 1810452 3580877 7161754 10742631 14323508 21485262 25066139 42970524 50132278 75198417 100264556 150396834 175462973 300793668 350925946 526388919 701851892 1052777838 2105555676