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677985903 = 33723161271
BaseRepresentation
bin101000011010010…
…011111001101111
31202020202020211000
4220122103321233
52342031022103
6151135331343
722541533200
oct5032237157
91666666730
10677985903
11318783931
1216b080b53
13aa6022ba
14660875a7
153e7c4aa3
hex28693e6f

677985903 has 96 divisors (see below), whose sum is σ = 1230397440. Its totient is φ = 367416000.

The previous prime is 677985901. The next prime is 677985953. The reversal of 677985903 is 309589776.

It is not a de Polignac number, because 677985903 - 21 = 677985901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 677985903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677985901) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2501658 + ... + 2501928.

It is an arithmetic number, because the mean of its divisors is an integer number (12816640).

Almost surely, 2677985903 is an apocalyptic number.

677985903 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

677985903 is a deficient number, since it is larger than the sum of its proper divisors (552411537).

677985903 is a wasteful number, since it uses less digits than its factorization.

677985903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 677985903 is about 26038.1624351643. The cubic root of 677985903 is about 878.4968756999.

The spelling of 677985903 in words is "six hundred seventy-seven million, nine hundred eighty-five thousand, nine hundred three".

Divisors: 1 3 7 9 21 27 31 49 61 63 93 147 183 189 217 271 279 427 441 549 651 813 837 1281 1323 1519 1647 1891 1897 1953 2439 2989 3843 4557 5673 5691 5859 7317 8401 8967 11529 13237 13279 13671 16531 17019 17073 25203 26901 39711 39837 41013 49593 51057 51219 58807 75609 80703 92659 115717 119133 119511 148779 176421 226827 277977 347151 357399 358533 411649 446337 512461 529263 810019 833931 1041453 1234947 1537383 1587789 2430057 2501793 3124359 3587227 3704841 4612149 7290171 10761681 11114523 13836447 21870513 25110589 32285043 75331767 96855129 225995301 677985903