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6993642720 = 253514570089
BaseRepresentation
bin1101000001101101…
…01000010011100000
3200001101202212020110
412200312220103200
5103310333031340
63113550011320
7335210660631
oct64066502340
920041685213
106993642720
112a69802319
1214321a6b40
13875bbb43c
144a4b83888
152adeb0680
hex1a0da84e0

6993642720 has 48 divisors (see below), whose sum is σ = 22029976080. Its totient is φ = 1864971264.

The previous prime is 6993642701. The next prime is 6993642751. The reversal of 6993642720 is 272463996.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×69936427202 = 97822076990017996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6993642720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7284565 + ... + 7285524.

It is an arithmetic number, because the mean of its divisors is an integer number (458957835).

Almost surely, 26993642720 is an apocalyptic number.

6993642720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6993642720 is an abundant number, since it is smaller than the sum of its proper divisors (15036333360).

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

6993642720 is a wasteful number, since it uses less digits than its factorization.

6993642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14570107 (or 14570099 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 6993642720 is about 83628.0020088965. The cubic root of 6993642720 is about 1912.3519102728.

The spelling of 6993642720 in words is "six billion, nine hundred ninety-three million, six hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 14570089 29140178 43710267 58280356 72850445 87420534 116560712 145700890 174841068 218551335 233121424 291401780 349682136 437102670 466242848 582803560 699364272 874205340 1165607120 1398728544 1748410680 2331214240 3496821360 6993642720