Search a number
-
+
2066805864 = 2332192131607
BaseRepresentation
bin111101100110000…
…1111010001101000
312100001001121122100
41323030033101220
513213100241424
6541030453400
7102134363034
oct17314172150
95301047570
102066805864
11970726922
12498204260
1326c268066
141586c91c4
15c16abdc9
hex7b30f468

2066805864 has 144 divisors (see below), whose sum is σ = 5962619520. Its totient is φ = 646626240.

The previous prime is 2066805863. The next prime is 2066805893. The reversal of 2066805864 is 4685086602.

2066805864 is a `hidden beast` number, since 2 + 0 + 6 + 68 + 0 + 586 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2066805863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3404649 + ... + 3405255.

It is an arithmetic number, because the mean of its divisors is an integer number (41407080).

Almost surely, 22066805864 is an apocalyptic number.

2066805864 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 2066805864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981309760).

2066805864 is an abundant number, since it is smaller than the sum of its proper divisors (3895813656).

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

2066805864 is a wasteful number, since it uses less digits than its factorization.

2066805864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2066805864 is about 45462.1365973928. The cubic root of 2066805864 is about 1273.7960417991.

The spelling of 2066805864 in words is "two billion, sixty-six million, eight hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 131 152 171 228 262 342 361 393 456 524 607 684 722 786 1048 1083 1179 1214 1368 1444 1572 1821 2166 2358 2428 2489 2888 3144 3249 3642 4332 4716 4856 4978 5463 6498 7284 7467 8664 9432 9956 10926 11533 12996 14568 14934 19912 21852 22401 23066 25992 29868 34599 43704 44802 46132 47291 59736 69198 79517 89604 92264 94582 103797 138396 141873 159034 179208 189164 207594 219127 238551 276792 283746 318068 378328 415188 425619 438254 477102 567492 636136 657381 715653 830376 851238 876508 954204 1134984 1314762 1431306 1510823 1702476 1753016 1908408 1972143 2629524 2862612 3021646 3404952 3944286 4532469 5259048 5725224 6043292 7888572 9064938 12086584 13597407 15777144 18129876 27194814 28705637 36259752 54389628 57411274 86116911 108779256 114822548 172233822 229645096 258350733 344467644 516701466 688935288 1033402932 2066805864