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2066217661764 = 223257394935049
BaseRepresentation
bin11110000100010100001…
…010110111010101000100
321022112021021001121012100
4132010110022313111010
5232323103210134024
64221112435152100
7302164541225364
oct36042412672504
97275237047170
102066217661764
11727307005193
12294544145630
1311cac71b9659
14720110109a4
1538b315107c9
hex1e1142b7544

2066217661764 has 18 divisors (see below), whose sum is σ = 5222939089550. Its totient is φ = 688739220576.

The previous prime is 2066217661757. The next prime is 2066217661769. The reversal of 2066217661764 is 4671667126602.

2066217661764 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 2 + 17 + 6 + 617 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1123298980164 + 942918681600 = 1059858^2 + 971040^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2066217661764.

It is not an unprimeable number, because it can be changed into a prime (2066217661769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28697467489 + ... + 28697467560.

Almost surely, 22066217661764 is an apocalyptic number.

It is an amenable number.

2066217661764 is an abundant number, since it is smaller than the sum of its proper divisors (3156721427786).

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

2066217661764 is a wasteful number, since it uses less digits than its factorization.

2066217661764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57394935059 (or 57394935054 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2066217661764 in words is "two trillion, sixty-six billion, two hundred seventeen million, six hundred sixty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 57394935049 114789870098 172184805147 229579740196 344369610294 516554415441 688739220588 1033108830882 2066217661764