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6080000064 = 26340517817
BaseRepresentation
bin1011010100110010…
…10111000001000000
3120200201121000010120
411222121113001000
544422440000224
62443151300240
7303445101465
oct55231270100
916621530116
106080000064
112640002046
12121821a680
1375b829198
144196b566c
15258b8b779
hex16a657040

6080000064 has 56 divisors (see below), whose sum is σ = 16092696288. Its totient is φ = 2025907200.

The previous prime is 6080000039. The next prime is 6080000083. The reversal of 6080000064 is 4600000806.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 6079999989 and 6080000043.

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, 773884 + ... + 781700.

Almost surely, 26080000064 is an apocalyptic number.

6080000064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6080000064 is an abundant number, since it is smaller than the sum of its proper divisors (10012696224).

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

6080000064 is a wasteful number, since it uses less digits than its factorization.

6080000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11883 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6080000064 is about 77974.3551688631. The cubic root of 6080000064 is about 1825.1610605589.

The spelling of 6080000064 in words is "six billion, eighty million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 4051 7817 8102 12153 15634 16204 23451 24306 31268 32408 46902 48612 62536 64816 93804 97224 125072 129632 187608 194448 250144 259264 375216 388896 500288 750432 777792 1500864 31666667 63333334 95000001 126666668 190000002 253333336 380000004 506666672 760000008 1013333344 1520000016 2026666688 3040000032 6080000064