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2686761012 = 22313531073037
BaseRepresentation
bin1010000000100100…
…1011100000110100
320221020121121020010
42200021023200310
521000302323022
61122334340220
7123403043325
oct24011134064
96836547203
102686761012
111159674351
1262b95a670
1333a82c820
141b6b8844c
1510ad1c50c
hexa024b834

2686761012 has 96 divisors (see below), whose sum is σ = 6945305472. Its totient is φ = 803252736.

The previous prime is 2686760983. The next prime is 2686761017. The reversal of 2686761012 is 2101676862.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686761017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883158 + ... + 886194.

It is an arithmetic number, because the mean of its divisors is an integer number (72346932).

Almost surely, 22686761012 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 2686761012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472652736).

2686761012 is an abundant number, since it is smaller than the sum of its proper divisors (4258544460).

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

2686761012 is a wasteful number, since it uses less digits than its factorization.

2686761012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2686761012 is about 51833.9754601169. The cubic root of 2686761012 is about 1390.1969963882.

The spelling of 2686761012 in words is "two billion, six hundred eighty-six million, seven hundred sixty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 107 156 159 212 214 318 321 428 636 642 689 1284 1378 1391 2067 2756 2782 3037 4134 4173 5564 5671 6074 8268 8346 9111 11342 12148 16692 17013 18222 22684 34026 36444 39481 68052 73723 78962 118443 147446 157924 160961 221169 236886 294892 321922 324959 442338 473772 482883 643844 649918 884676 965766 974877 1299836 1931532 1949754 2092493 3899508 4184986 4224467 6277479 8369972 8448934 12554958 12673401 16897868 17222827 25109916 25346802 34445654 50693604 51668481 68891308 103336962 206673924 223896751 447793502 671690253 895587004 1343380506 2686761012