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676746972 = 2232112696353
BaseRepresentation
bin101000010101100…
…101011011011100
31202011102022022200
4220111211123130
52341221400342
6151053011500
722525153146
oct5025453334
91664368280
10676746972
11318008020
1216a783b90
13aa28a3c5
1465c43c96
153e62c94c
hex285656dc

676746972 has 72 divisors (see below), whose sum is σ = 1873413360. Its totient is φ = 204280320.

The previous prime is 676746971. The next prime is 676746991. The reversal of 676746972 is 279647676.

It is a happy number.

676746972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6767469722 = 915972928222337568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676746971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103348 + ... + 109700.

It is an arithmetic number, because the mean of its divisors is an integer number (26019630).

Almost surely, 2676746972 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 676746972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936706680).

676746972 is an abundant number, since it is smaller than the sum of its proper divisors (1196666388).

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

676746972 is a wasteful number, since it uses less digits than its factorization.

676746972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6638 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 676746972 is about 26014.3608800985. The cubic root of 676746972 is about 877.9614365166.

The spelling of 676746972 in words is "six hundred seventy-six million, seven hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 269 396 538 807 1076 1614 2421 2959 3228 4842 5918 6353 8877 9684 11836 12706 17754 19059 25412 26631 35508 38118 53262 57177 69883 76236 106524 114354 139766 209649 228708 279532 419298 628947 838596 1257894 1708957 2515788 3417914 5126871 6835828 10253742 15380613 18798527 20507484 30761226 37597054 56395581 61522452 75194108 112791162 169186743 225582324 338373486 676746972