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2066312628 = 2232510711239
BaseRepresentation
bin111101100101001…
…0110110110110100
312100000010120001100
41323022112312310
513212434001003
6541012130100
7102130240032
oct17312266664
95300116040
102066312628
1197041a296
12498006930
1326c1246c3
141585db552
15c1610ba3
hex7b296db4

2066312628 has 36 divisors (see below), whose sum is σ = 5224666720. Its totient is φ = 688574736.

The previous prime is 2066312627. The next prime is 2066312659. The reversal of 2066312628 is 8262136602.

2066312628 is a `hidden beast` number, since 20 + 6 + 6 + 3 + 1 + 2 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2066312592 and 2066312601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066312621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178233 + ... + 189471.

Almost surely, 22066312628 is an apocalyptic number.

It is an amenable number.

2066312628 is an abundant number, since it is smaller than the sum of its proper divisors (3158354092).

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

2066312628 is a wasteful number, since it uses less digits than its factorization.

2066312628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16356 (or 16351 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2066312628 is about 45456.7115836595. The cubic root of 2066312628 is about 1273.6947047454.

The spelling of 2066312628 in words is "two billion, sixty-six million, three hundred twelve thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 5107 10214 11239 15321 20428 22478 30642 33717 44956 45963 61284 67434 91926 101151 134868 183852 202302 404604 57397573 114795146 172192719 229590292 344385438 516578157 688770876 1033156314 2066312628