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6666744400 = 245281120551
BaseRepresentation
bin1100011010101111…
…00111001001010000
3122012121122201001021
412031113213021100
5102123141310100
63021311245224
7324131251411
oct61527471120
918177581037
106666744400
112911226818
121360819814
13823263394
144735ab808
1529043ba1a
hex18d5e7250

6666744400 has 60 divisors (see below), whose sum is σ = 16037383264. Its totient is φ = 2663280000.

The previous prime is 6666744341. The next prime is 6666744433. The reversal of 6666744400 is 44476666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314125 + ... + 334675.

Almost surely, 26666744400 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 6666744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018691632).

6666744400 is an abundant number, since it is smaller than the sum of its proper divisors (9370638864).

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

6666744400 is a wasteful number, since it uses less digits than its factorization.

6666744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21380 (or 21369 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The square root of 6666744400 is about 81650.1341088917. The cubic root of 6666744400 is about 1882.0793727204.

The spelling of 6666744400 in words is "six billion, six hundred sixty-six million, seven hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 811 1622 3244 4055 6488 8110 12976 16220 20275 20551 32440 40550 41102 64880 81100 82204 102755 162200 164408 205510 324400 328816 411020 513775 822040 1027550 1644080 2055100 4110200 8220400 16666861 33333722 66667444 83334305 133334888 166668610 266669776 333337220 416671525 666674440 833343050 1333348880 1666686100 3333372200 6666744400