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7672708836 = 223213211232
BaseRepresentation
bin1110010010101010…
…00011111011100100
3201210201112222211100
413021111003323210
5111203203140321
63305204440100
7361064643342
oct71125037344
921721488740
107672708836
113288053791
1215a16a9030
139537ab300
1452b02c992
152ed8ea326
hex1c9543ee4

7672708836 has 81 divisors (see below), whose sum is σ = 21020299209. Its totient is φ = 2358731232.

The previous prime is 7672708831. The next prime is 7672708837. The reversal of 7672708836 is 6388072767.

The square root of 7672708836 is 87594.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1135016100 + 6537692736 = 33690^2 + 80856^2 .

It is not an unprimeable number, because it can be changed into a prime (7672708831) 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 26 ways as a sum of consecutive naturals, for example, 6831771 + ... + 6832893.

Almost surely, 27672708836 is an apocalyptic number.

7672708836 is the 87594-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7672708836

7672708836 is an abundant number, since it is smaller than the sum of its proper divisors (13347590373).

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

7672708836 is a wasteful number, since it uses less digits than its factorization.

7672708836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The cubic root of 7672708836 is about 1972.3451021699.

The spelling of 7672708836 in words is "seven billion, six hundred seventy-two million, seven hundred eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1123 1521 2028 2246 3042 3369 4492 6084 6738 10107 13476 14599 20214 29198 40428 43797 58396 87594 131391 175188 189787 262782 379574 525564 569361 759148 1138722 1261129 1708083 2277444 2522258 3416166 3783387 5044516 6832332 7566774 11350161 15133548 16394677 22700322 32789354 45400644 49184031 65578708 98368062 147552093 196736124 213130801 295104186 426261602 590208372 639392403 852523204 1278784806 1918177209 2557569612 3836354418 7672708836