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27676276020 = 2235537153911
BaseRepresentation
bin11001110001101000…
…100111010100110100
32122102210210111100000
4121301220213110310
5423140111313040
620414142351300
71666562315241
oct316150472464
978383714300
1027676276020
1110812599898
12544488b530
1327c0b347b3
1414a79a25c8
15abeb1d130
hex671a27534

27676276020 has 144 divisors (see below), whose sum is σ = 89414252928. Its totient is φ = 7180824960.

The previous prime is 27676276013. The next prime is 27676276091. The reversal of 27676276020 is 2067267672.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 102865 + ... + 256775.

It is an arithmetic number, because the mean of its divisors is an integer number (620932312).

Almost surely, 227676276020 is an apocalyptic number.

27676276020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27676276020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44707126464).

27676276020 is an abundant number, since it is smaller than the sum of its proper divisors (61737976908).

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

27676276020 is a wasteful number, since it uses less digits than its factorization.

27676276020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153972 (or 153958 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 27676276020 in words is "twenty-seven billion, six hundred seventy-six million, two hundred seventy-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 243 270 324 333 370 405 444 486 540 555 666 740 810 972 999 1110 1215 1332 1620 1665 1998 2220 2430 2997 3330 3996 4860 4995 5994 6660 8991 9990 11988 14985 17982 19980 29970 35964 44955 59940 89910 153911 179820 307822 461733 615644 769555 923466 1385199 1539110 1846932 2308665 2770398 3078220 4155597 4617330 5540796 5694707 6925995 8311194 9234660 11389414 12466791 13851990 16622388 17084121 20777985 22778828 24933582 27703980 28473535 34168242 37400373 41555970 49867164 51252363 56947070 62333955 68336484 74800746 83111940 85420605 102504726 113894140 124667910 149601492 153757089 170841210 187001865 205009452 249335820 256261815 307514178 341682420 374003730 461271267 512523630 615028356 748007460 768785445 922542534 1025047260 1383813801 1537570890 1845085068 2306356335 2767627602 3075141780 4612712670 5535255204 6919069005 9225425340 13838138010 27676276020