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6428248128648 = 233426936877829
BaseRepresentation
bin101110110001011000101…
…1100100011110010001000
3211202112102122221112120000
41131202301130203302020
51320310023010104043
621401032454403000
71232265660355323
oct135426134436210
924675378845500
106428248128648
112059228536a15
12879a07360460
13378248124858
141831b38917ba
15b23307ac2d3
hex5d8b1723c88

6428248128648 has 80 divisors (see below), whose sum is σ = 18071980591500. Its totient is φ = 2134783707264.

The previous prime is 6428248128623. The next prime is 6428248128689. The reversal of 6428248128648 is 8468218428246.

6428248128648 is a `hidden beast` number, since 6 + 428 + 2 + 48 + 128 + 6 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4979494064484 + 1448754064164 = 2231478^2 + 1203642^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18264603 + ... + 18613226.

Almost surely, 26428248128648 is an apocalyptic number.

It is an amenable number.

6428248128648 is an abundant number, since it is smaller than the sum of its proper divisors (11643732462852).

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

6428248128648 is a wasteful number, since it uses less digits than its factorization.

6428248128648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36878116 (or 36878103 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 63.

The spelling of 6428248128648 in words is "six trillion, four hundred twenty-eight billion, two hundred forty-eight million, one hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 269 324 538 648 807 1076 1614 2152 2421 3228 4842 6456 7263 9684 14526 19368 21789 29052 43578 58104 87156 174312 36877829 73755658 110633487 147511316 221266974 295022632 331900461 442533948 663800922 885067896 995701383 1327601844 1991402766 2655203688 2987104149 3982805532 5974208298 7965611064 9920136001 11948416596 19840272002 23896833192 29760408003 39680544004 59520816006 79361088008 89281224009 119041632012 178562448018 238083264024 267843672027 357124896036 535687344054 714249792072 803531016081 1071374688108 1607062032162 2142749376216 3214124064324 6428248128648