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677128257 = 321323318117
BaseRepresentation
bin101000010111000…
…010100001000001
31202012010200100100
4220113002201001
52341321101012
6151105113013
722531331601
oct5027024101
91665120310
10677128257
11318248533
1216a928769
13aa391b10
1465d02c01
153e6a58dc
hex285c2841

677128257 has 48 divisors (see below), whose sum is σ = 1134701568. Its totient is φ = 385672320.

The previous prime is 677128183. The next prime is 677128259. The reversal of 677128257 is 752821776.

It is not a de Polignac number, because 677128257 - 211 = 677126209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677128259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79363 + ... + 87479.

It is an arithmetic number, because the mean of its divisors is an integer number (23639616).

Almost surely, 2677128257 is an apocalyptic number.

It is an amenable number.

677128257 is a deficient number, since it is larger than the sum of its proper divisors (457573311).

677128257 is a wasteful number, since it uses less digits than its factorization.

677128257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8187 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 677128257 is about 26021.6882042653. The cubic root of 677128257 is about 878.1262892075.

The spelling of 677128257 in words is "six hundred seventy-seven million, one hundred twenty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 13 23 31 39 69 93 117 207 279 299 403 713 897 1209 2139 2691 3627 6417 8117 9269 24351 27807 73053 83421 105521 186691 251627 316563 560073 754881 949689 1680219 2264643 2426983 3271151 5787421 7280949 9813453 17362263 21842847 29440359 52086789 75236473 225709419 677128257