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6996194000 = 24537574621
BaseRepresentation
bin1101000010000000…
…10111001011010000
3200001120120110221022
412201000113023100
5103312011202000
63114120415012
7335241445025
oct64100271320
920046513838
106996194000
112a70195114
121433017468
138765a2783
144a524954c
152ae316585
hex1a10172d0

6996194000 has 80 divisors (see below), whose sum is σ = 16942809936. Its totient is φ = 2794176000.

The previous prime is 6996193937. The next prime is 6996194047. The reversal of 6996194000 is 4916996.

It can be written as a sum of positive squares in 8 ways, for example, as 2299010704 + 4697183296 = 47948^2 + 68536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1511690 + ... + 1516310.

Almost surely, 26996194000 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 6996194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8471404968).

6996194000 is an abundant number, since it is smaller than the sum of its proper divisors (9946615936).

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

6996194000 is a wasteful number, since it uses less digits than its factorization.

6996194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 6996194000 is about 83643.2543604085. The cubic root of 6996194000 is about 1912.5844239150.

The spelling of 6996194000 in words is "six billion, nine hundred ninety-six million, one hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 757 1000 1514 2000 3028 3785 4621 6056 7570 9242 12112 15140 18484 18925 23105 30280 36968 37850 46210 60560 73936 75700 92420 94625 115525 151400 184840 189250 231050 302800 369680 378500 462100 577625 757000 924200 1155250 1514000 1848400 2310500 3498097 4621000 6996194 9242000 13992388 17490485 27984776 34980970 55969552 69961940 87452425 139923880 174904850 279847760 349809700 437262125 699619400 874524250 1399238800 1749048500 3498097000 6996194000