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268450282400 = 2552335562853
BaseRepresentation
bin1111101000000011100…
…0100011101110100000
3221122220202120022110212
43322000320203232200
513344241233014100
6323154021113252
725252306515356
oct3720070435640
9848822508425
10268450282400
11a3938205523
124403b558828
131c412687861
14cdc8d717d6
156eb29b9635
hex3e80e23ba0

268450282400 has 36 divisors (see below), whose sum is σ = 655354253862. Its totient is φ = 107380112640.

The previous prime is 268450282391. The next prime is 268450282447. The reversal of 268450282400 is 4282054862.

It can be written as a sum of positive squares in 3 ways, for example, as 143425808656 + 125024473744 = 378716^2 + 353588^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167780627 + ... + 167782226.

Almost surely, 2268450282400 is an apocalyptic number.

268450282400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268450282400 is an abundant number, since it is smaller than the sum of its proper divisors (386903971462).

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

268450282400 is a wasteful number, since it uses less digits than its factorization.

268450282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335562873 (or 335562860 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The spelling of 268450282400 in words is "two hundred sixty-eight billion, four hundred fifty million, two hundred eighty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 335562853 671125706 1342251412 1677814265 2684502824 3355628530 5369005648 6711257060 8389071325 10738011296 13422514120 16778142650 26845028240 33556285300 53690056480 67112570600 134225141200 268450282400