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677016512 = 2619229303
BaseRepresentation
bin101000010110100…
…111001111000000
31202011221000001122
4220112213033000
52341304012022
6151102451412
722530355034
oct5026471700
91664830048
10677016512
11318181587
1216a893b68
13aa352cb3
1465cb41c4
153e682742
hex285a73c0

677016512 has 42 divisors (see below), whose sum is σ = 1417932648. Its totient is φ = 320681088.

The previous prime is 677016511. The next prime is 677016547. The reversal of 677016512 is 215610776.

It is a super-2 number, since 2×6770165122 = 916702715041292288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677016511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8453 + ... + 37755.

Almost surely, 2677016512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708966324).

677016512 is an abundant number, since it is smaller than the sum of its proper divisors (740916136).

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

677016512 is a wasteful number, since it uses less digits than its factorization.

677016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29353 (or 29324 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 677016512 is about 26019.5409644367. The cubic root of 677016512 is about 878.0779814611.

The spelling of 677016512 in words is "six hundred seventy-seven million, sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5776 11552 23104 29303 58606 117212 234424 468848 556757 937696 1113514 1875392 2227028 4454056 8908112 10578383 17816224 21156766 35632448 42313532 84627064 169254128 338508256 677016512