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256271056425 = 325217428315643
BaseRepresentation
bin1110111010101011110…
…0011111111000101001
3220111110222012112022100
43232222330133320221
513144320342301200
6313421310044013
724341431016046
oct3565274377051
9814428175270
10256271056425
119975836a80a
12418007a9609
131b221360577
14c59161c1cd
1569ed644d00
hex3baaf1fe29

256271056425 has 72 divisors (see below), whose sum is σ = 486155071584. Its totient is φ = 128599764480.

The previous prime is 256271056423. The next prime is 256271056439. The reversal of 256271056425 is 524650172652.

256271056425 is a `hidden beast` number, since 2 + 5 + 62 + 7 + 1 + 0 + 564 + 25 = 666.

It is not a de Polignac number, because 256271056425 - 21 = 256271056423 is a prime.

It is a super-2 number, since 2×2562710564252 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256271056421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16374654 + ... + 16390296.

It is an arithmetic number, because the mean of its divisors is an integer number (6752153772).

Almost surely, 2256271056425 is an apocalyptic number.

256271056425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256271056425 is a deficient number, since it is larger than the sum of its proper divisors (229884015159).

256271056425 is a wasteful number, since it uses less digits than its factorization.

256271056425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19959 (or 19951 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 256271056425 in words is "two hundred fifty-six billion, two hundred seventy-one million, fifty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 4283 12849 15643 21415 38547 46929 64245 72811 78215 107075 140787 192735 218433 234645 265931 321225 364055 391075 655299 703935 797793 963675 1092165 1173225 1329655 1820275 2393379 3276495 3519675 3988965 5460825 6648275 11966895 16382475 19944825 59834475 66998969 200996907 334994845 602990721 1004984535 1138982473 1674974225 3014953605 3416947419 5024922675 5694912365 10250842257 15074768025 17084737095 28474561825 51254211285 85423685475 256271056425