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2066886864 = 243279721139
BaseRepresentation
bin111101100110010…
…0011000011010000
312100001012201202100
41323030203003100
513213110334424
6541032320400
7102135151140
oct17314430320
95301181670
102066886864
11970781769
12498243100
1326c295ba3
1415870a920
15c16c5dc9
hex7b3230d0

2066886864 has 120 divisors (see below), whose sum is σ = 6679225280. Its totient is φ = 584423424.

The previous prime is 2066886863. The next prime is 2066886883. The reversal of 2066886864 is 4686886602.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2066886864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066886863) 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, 87207 + ... + 108345.

Almost surely, 22066886864 is an apocalyptic number.

2066886864 is a gapful number since it is divisible by the number (24) 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 2066886864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339612640).

2066886864 is an abundant number, since it is smaller than the sum of its proper divisors (4612338416).

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

2066886864 is a wasteful number, since it uses less digits than its factorization.

2066886864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21257 (or 21248 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 2066886864 is about 45463.0274398879. The cubic root of 2066886864 is about 1273.8126819899.

The spelling of 2066886864 in words is "two billion, sixty-six million, eight hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 1008 1164 1358 1552 1746 2037 2328 2716 3492 4074 4656 5432 6111 6984 8148 10864 12222 13968 16296 21139 24444 32592 42278 48888 63417 84556 97776 126834 147973 169112 190251 253668 295946 338224 380502 443919 507336 591892 761004 887838 1014672 1183784 1331757 1522008 1775676 2050483 2367568 2663514 3044016 3551352 4100966 5327028 6151449 7102704 8201932 10654056 12302898 14353381 16403864 18454347 21308112 24605796 28706762 32807728 36908694 43060143 49211592 57413524 73817388 86120286 98423184 114827048 129180429 147634776 172240572 229654096 258360858 295269552 344481144 516721716 688962288 1033443432 2066886864