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2066906868 = 22313192330319
BaseRepresentation
bin111101100110010…
…0111111011110100
312100001020202012020
41323030213323310
513213112004433
6541032553140
7102135263355
oct17314477364
95301222166
102066906868
119707957a4
124982527b0
1326c2a2020
14158713d2c
15c16cbcb3
hex7b327ef4

2066906868 has 96 divisors (see below), whose sum is σ = 5705011200. Its totient is φ = 576284544.

The previous prime is 2066906867. The next prime is 2066906873. The reversal of 2066906868 is 8686096602.

It is a self number, because there is not a number n which added to its sum of digits gives 2066906868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066906867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53013 + ... + 83331.

It is an arithmetic number, because the mean of its divisors is an integer number (59427200).

Almost surely, 22066906868 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 2066906868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852505600).

2066906868 is an abundant number, since it is smaller than the sum of its proper divisors (3638104332).

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

2066906868 is a wasteful number, since it uses less digits than its factorization.

2066906868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30381 (or 30379 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 2066906868 is about 45463.2474423022. The cubic root of 2066906868 is about 1273.8167914337.

The spelling of 2066906868 in words is "two billion, sixty-six million, nine hundred six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 23 26 38 39 46 52 57 69 76 78 92 114 138 156 228 247 276 299 437 494 598 741 874 897 988 1196 1311 1482 1748 1794 2622 2964 3588 5244 5681 11362 17043 22724 30319 34086 60638 68172 90957 121276 181914 363828 394147 576061 697337 788294 1152122 1182441 1394674 1576588 1728183 2092011 2304244 2364882 2789348 3456366 4184022 4729764 6912732 7488793 8368044 9065381 13249403 14977586 18130762 22466379 26498806 27196143 29955172 36261524 39748209 44932758 52997612 54392286 79496418 89865516 108784572 158992836 172242239 344484478 516726717 688968956 1033453434 2066906868