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205448010656 = 257318717931
BaseRepresentation
bin1011111101010110100…
…1111101101110100000
3201122022000200022010212
42333111221331232200
511331224142320111
6234214223513252
720562123164000
oct2772551755640
9648260608125
10205448010656
117a148056249
1233998158828
13164b1c2c115
149d2d884000
1555268c498b
hex2fd5a7dba0

205448010656 has 48 divisors (see below), whose sum is σ = 471691886400. Its totient is φ = 88049142720.

The previous prime is 205448010637. The next prime is 205448010661. The reversal of 205448010656 is 656010844502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9347990 + ... + 9369941.

It is an arithmetic number, because the mean of its divisors is an integer number (9826914300).

Almost surely, 2205448010656 is an apocalyptic number.

It is an amenable number.

205448010656 is an abundant number, since it is smaller than the sum of its proper divisors (266243875744).

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

205448010656 is an equidigital number, since it uses as much as digits as its factorization.

205448010656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18717962 (or 18717940 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 205448010656 in words is "two hundred five billion, four hundred forty-eight million, ten thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 18717931 37435862 74871724 131025517 149743448 262051034 299486896 524102068 598973792 917178619 1048204136 1834357238 2096408272 3668714476 4192816544 6420250333 7337428952 12840500666 14674857904 25681001332 29349715808 51362002664 102724005328 205448010656