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2066812704 = 2532111934337
BaseRepresentation
bin111101100110001…
…0000111100100000
312100001001222000200
41323030100330200
513213101001304
6541030545200
7102134422005
oct17314207440
95301058020
102066812704
11970730a80
12498208200
1326c26b1c8
141586cb8ac
15c16ade39
hex7b310f20

2066812704 has 144 divisors (see below), whose sum is σ = 6749477280. Its totient is φ = 593326080.

The previous prime is 2066812691. The next prime is 2066812721. The reversal of 2066812704 is 4072186602.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43024 + ... + 77360.

It is an arithmetic number, because the mean of its divisors is an integer number (46871370).

Almost surely, 22066812704 is an apocalyptic number.

2066812704 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 2066812704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374738640).

2066812704 is an abundant number, since it is smaller than the sum of its proper divisors (4682664576).

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

2066812704 is a wasteful number, since it uses less digits than its factorization.

2066812704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34383 (or 34372 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2066812704 is about 45462.2118247672. The cubic root of 2066812704 is about 1273.7974469876.

The spelling of 2066812704 in words is "two billion, sixty-six million, eight hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 34337 60192 68674 103011 137348 206022 274696 309033 377707 412044 549392 618066 652403 755414 824088 1098784 1133121 1236132 1304806 1510828 1648176 1957209 2266242 2472264 2609612 3021656 3296352 3399363 3914418 4532484 4944528 5219224 5871627 6043312 6798726 7176433 7828836 9064968 9889056 10438448 11743254 12086624 13597452 14352866 15657672 18129936 20876896 21529299 23486508 27194904 28705732 31315344 36259872 43058598 46973016 54389808 57411464 62630688 64587897 86117196 93946032 108779616 114822928 129175794 172234392 187892064 229645856 258351588 344468784 516703176 688937568 1033406352 2066812704