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68675408000 = 27534292213
BaseRepresentation
bin111111111101010111…
…111001000010000000
320120021002220012020122
4333331113321002000
52111121401024000
651314332155412
74650561223253
oct777527710200
9216232805218
1068675408000
1127141528541
1211387308b68
136625bac0c4
143476b3309a
151bbe1b4085
hexffd5f9080

68675408000 has 64 divisors (see below), whose sum is σ = 170744272920. Its totient is φ = 27470156800.

The previous prime is 68675407987. The next prime is 68675408003. The reversal of 68675408000 is 80457686.

It can be written as a sum of positive squares in 4 ways, for example, as 7397376064 + 61278031936 = 86008^2 + 247544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×686754080003 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (68675408003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2130107 + ... + 2162106.

Almost surely, 268675408000 is an apocalyptic number.

It is an amenable number.

68675408000 is an abundant number, since it is smaller than the sum of its proper divisors (102068864920).

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

68675408000 is an equidigital number, since it uses as much as digits as its factorization.

68675408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292242 (or 4292220 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 68675408000 in words is "sixty-eight billion, six hundred seventy-five million, four hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 4292213 8584426 17168852 21461065 34337704 42922130 68675408 85844260 107305325 137350816 171688520 214610650 274701632 343377040 429221300 536526625 549403264 686754080 858442600 1073053250 1373508160 1716885200 2146106500 2747016320 3433770400 4292213000 6867540800 8584426000 13735081600 17168852000 34337704000 68675408000