Search a number
-
+
676679949680 = 24577253166601
BaseRepresentation
bin10011101100011010100…
…01001001110101110000
32101200121222201002122112
421312031101021311300
542041320031342210
61234510143424452
766613521445430
oct11661521116560
92350558632575
10676679949680
11240a84210739
12ab18a8b5128
134ba6ccac9b7
1424a741042c0
1512906b27d05
hex9d8d449d70

676679949680 has 80 divisors (see below), whose sum is σ = 1798293991104. Its totient is φ = 231971174400.

The previous prime is 676679949679. The next prime is 676679949689. The reversal of 676679949680 is 86949976676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676679949689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3978380 + ... + 4144980.

Almost surely, 2676679949680 is an apocalyptic number.

It is an amenable number.

676679949680 is an abundant number, since it is smaller than the sum of its proper divisors (1121614041424).

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

676679949680 is a wasteful number, since it uses less digits than its factorization.

676679949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173874 (or 173868 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 77.

The spelling of 676679949680 in words is "six hundred seventy-six billion, six hundred seventy-nine million, nine hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7253 14506 29012 36265 50771 58024 72530 101542 116048 145060 166601 203084 253855 290120 333202 406168 507710 580240 666404 812336 833005 1015420 1166207 1332808 1666010 2030840 2332414 2665616 3332020 4061680 4664828 5831035 6664040 9329656 11662070 13328080 18659312 23324140 46648280 93296560 1208357053 2416714106 4833428212 6041785265 8458499371 9666856424 12083570530 16916998742 19333712848 24167141060 33833997484 42292496855 48334282120 67667994968 84584993710 96668564240 135335989936 169169987420 338339974840 676679949680