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6800346540 = 22325132906131
BaseRepresentation
bin1100101010101010…
…10000110110101100
3122112221001101201200
412111111100312230
5102411342042130
63042443005500
7330342664131
oct62525206654
918487041650
106800346540
11297a689009
121399509890
13844b405c0
14487228588
1529c02c760
hex195550dac

6800346540 has 72 divisors (see below), whose sum is σ = 22214473008. Its totient is φ = 1673930880.

The previous prime is 6800346533. The next prime is 6800346541. The reversal of 6800346540 is 456430086.

6800346540 is a `hidden beast` number, since 6 + 80 + 0 + 34 + 6 + 540 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6800346495 and 6800346504.

It is not an unprimeable number, because it can be changed into a prime (6800346541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1450726 + ... + 1455405.

Almost surely, 26800346540 is an apocalyptic number.

6800346540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6800346540 is an abundant number, since it is smaller than the sum of its proper divisors (15414126468).

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

6800346540 is a wasteful number, since it uses less digits than its factorization.

6800346540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906159 (or 2906154 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6800346540 is about 82464.2136929711. The cubic root of 6800346540 is about 1894.5686567991.

The spelling of 6800346540 in words is "six billion, eight hundred million, three hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2906131 5812262 8718393 11624524 14530655 17436786 26155179 29061310 34873572 37779703 43591965 52310358 58122620 75559406 87183930 104620716 113339109 130775895 151118812 174367860 188898515 226678218 261551790 340017327 377797030 453356436 523103580 566695545 680034654 755594060 1133391090 1360069308 1700086635 2266782180 3400173270 6800346540