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6863417344 = 21271714081
BaseRepresentation
bin1100110010001011…
…10111000000000000
3122201022201201121101
412121011313000000
5103024013323334
63053014504144
7332040041050
oct63105670000
918638651541
106863417344
112a02247043
1213b6665054
13854c241c4
14491765560
152a283a214
hex199177000

6863417344 has 104 divisors (see below), whose sum is σ = 16609775328. Its totient is φ = 2768240640.

The previous prime is 6863417339. The next prime is 6863417357. The reversal of 6863417344 is 4437143686.

It is a junction number, because it is equal to n+sod(n) for n = 6863417294 and 6863417303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480384 + ... + 494464.

Almost surely, 26863417344 is an apocalyptic number.

6863417344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6863417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304887664).

6863417344 is an abundant number, since it is smaller than the sum of its proper divisors (9746357984).

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

6863417344 is a wasteful number, since it uses less digits than its factorization.

6863417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14129 (or 14107 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The square root of 6863417344 is about 82845.7442721109. The cubic root of 6863417344 is about 1900.4077928025.

The spelling of 6863417344 in words is "six billion, eight hundred sixty-three million, four hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1024 1088 1792 1904 2048 2176 3584 3808 4096 4352 7168 7616 8704 14081 14336 15232 17408 28162 28672 30464 34816 56324 60928 69632 98567 112648 121856 197134 225296 239377 243712 394268 450592 478754 487424 788536 901184 957508 1577072 1675639 1802368 1915016 3154144 3351278 3604736 3830032 6308288 6702556 7209472 7660064 12616576 13405112 14418944 15320128 25233152 26810224 28837888 30640256 50466304 53620448 57675776 61280512 100932608 107240896 122561024 201865216 214481792 245122048 403730432 428963584 490244096 857927168 980488192 1715854336 3431708672 6863417344