Search a number
-
+
772672885660 = 2251327131633467
BaseRepresentation
bin10110011111001101110…
…01001001001110011100
32201212101220100111102201
423033212321021032130
5100124413224320120
61350543325301244
7106552361106514
oct13174671111634
92655356314381
10772672885660
11278763778285
121058ba704824
1357b2a596630
142957ccd2844
151517419440a
hexb3e6e4939c

772672885660 has 96 divisors (see below), whose sum is σ = 1754938063872. Its totient is φ = 284070032640.

The previous prime is 772672885651. The next prime is 772672885669. The reversal of 772672885660 is 66588276277.

It is an interprime number because it is at equal distance from previous prime (772672885651) and next prime (772672885669).

It is a junction number, because it is equal to n+sod(n) for n = 772672885592 and 772672885601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772672885669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222863247 + ... + 222866713.

It is an arithmetic number, because the mean of its divisors is an integer number (18280604832).

Almost surely, 2772672885660 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 772672885660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877469031936).

772672885660 is an abundant number, since it is smaller than the sum of its proper divisors (982265178212).

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

772672885660 is a wasteful number, since it uses less digits than its factorization.

772672885660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 64.

The spelling of 772672885660 in words is "seven hundred seventy-two billion, six hundred seventy-two million, eight hundred eighty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 271 542 1084 1355 2710 3163 3467 3523 5420 6326 6934 7046 12652 13868 14092 15815 17335 17615 31630 34670 35230 41119 45071 63260 69340 70460 82238 90142 164476 180284 205595 225355 411190 450710 822380 857173 901420 939557 1714346 1879114 3428692 3758228 4285865 4697785 8571730 9395570 10966121 11143249 12214241 17143460 18791140 21932242 22286498 24428482 43864484 44572996 48856964 54830605 55716245 61071205 109661210 111432490 122142410 142559573 219322420 222864980 244284820 285119146 570238292 712797865 1425595730 2851191460 2971818791 5943637582 11887275164 14859093955 29718187910 38633644283 59436375820 77267288566 154534577132 193168221415 386336442830 772672885660