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6660126816 = 253718015503
BaseRepresentation
bin1100011001111100…
…10111100001100000
3122012011012111102120
412030332113201200
5102114443024231
63020513344240
7324021100230
oct61476274140
918164174376
106660126816
112908516942
12135a568080
13821a87255
14472767cc0
1528ea80d96
hex18cf97860

6660126816 has 96 divisors (see below), whose sum is σ = 19995107328. Its totient is φ = 1901491200.

The previous prime is 6660126763. The next prime is 6660126817. The reversal of 6660126816 is 6186210666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6660126817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207521 + ... + 1213023.

It is an arithmetic number, because the mean of its divisors is an integer number (208282368).

Almost surely, 26660126816 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 6660126816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997553664).

6660126816 is an abundant number, since it is smaller than the sum of its proper divisors (13334980512).

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

6660126816 is a wasteful number, since it uses less digits than its factorization.

6660126816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7324 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6660126816 is about 81609.6000235266. The cubic root of 6660126816 is about 1881.4564329033.

The spelling of 6660126816 in words is "six billion, six hundred sixty million, one hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1801 3602 5403 5503 7204 10806 11006 12607 14408 16509 21612 22012 25214 28816 33018 37821 38521 43224 44024 50428 57632 66036 75642 77042 86448 88048 100856 115563 132072 151284 154084 172896 176096 201712 231126 264144 302568 308168 403424 462252 528288 605136 616336 924504 1210272 1232672 1849008 3698016 9910903 19821806 29732709 39643612 59465418 69376321 79287224 118930836 138752642 158574448 208128963 237861672 277505284 317148896 416257926 475723344 555010568 832515852 951446688 1110021136 1665031704 2220042272 3330063408 6660126816