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2114006562 = 232292731913
BaseRepresentation
bin111111000000001…
…0010111000100010
312110022212122211100
41332000102320202
513312141202222
6545434255230
7103246521303
oct17600227042
95408778740
102114006562
11995335468
124abb87516
13278c83275
14160a947aa
15c58d24ac
hex7e012e22

2114006562 has 72 divisors (see below), whose sum is σ = 4811233284. Its totient is φ = 670699008.

The previous prime is 2114006551. The next prime is 2114006563. The reversal of 2114006562 is 2656004112.

2114006562 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 0 + 0 + 656 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1595123721 + 518882841 = 39939^2 + 22779^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114006563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1104118 + ... + 1106030.

Almost surely, 22114006562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114006562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405616642).

2114006562 is an abundant number, since it is smaller than the sum of its proper divisors (2697226722).

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

2114006562 is a wasteful number, since it uses less digits than its factorization.

2114006562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2114006562 is about 45978.3270900541. The cubic root of 2114006562 is about 1283.4199238738.

The spelling of 2114006562 in words is "two billion, one hundred fourteen million, six thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 18 29 58 73 87 146 174 219 261 438 522 657 841 1314 1682 1913 2117 2523 3826 4234 5046 5739 6351 7569 11478 12702 15138 17217 19053 34434 38106 55477 61393 110954 122786 139649 166431 184179 279298 332862 368358 418947 499293 552537 837894 998586 1105074 1256841 1608833 2513682 3217666 4049821 4826499 8099642 9652998 12149463 14479497 24298926 28958994 36448389 72896778 117444809 234889618 352334427 704668854 1057003281 2114006562