Search a number
-
+
3679562680812 = 22328917320113301
BaseRepresentation
bin110101100010110111000…
…001101100100111101100
3111000202121001100021210100
4311202313001230213230
5440241221021241222
611454211234111100
7526560664510464
oct65426701544754
914022531307710
103679562680812
111199548230a37
124b515a11b490
13208c9ab15365
14ca13dbd8ba4
1565aa94994ac
hex358b706c9ec

3679562680812 has 144 divisors (see below), whose sum is σ = 9467562817440. Its totient is φ = 1204765056000.

The previous prime is 3679562680811. The next prime is 3679562680841. The reversal of 3679562680812 is 2180862659763.

It is a happy number.

3679562680812 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 562 + 68 + 0 + 8 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3679562680812.

It is not an unprimeable number, because it can be changed into a prime (3679562680811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114679562 + ... + 1114682862.

It is an arithmetic number, because the mean of its divisors is an integer number (65746964010).

Almost surely, 23679562680812 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 3679562680812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733781408720).

3679562680812 is an abundant number, since it is smaller than the sum of its proper divisors (5788000136628).

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

3679562680812 is a wasteful number, since it uses less digits than its factorization.

3679562680812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5584 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3679562680812 in words is "three trillion, six hundred seventy-nine billion, five hundred sixty-two million, six hundred eighty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 173 178 267 346 356 519 534 692 801 1038 1068 1557 1602 2011 2076 3114 3204 3301 4022 6033 6228 6602 8044 9903 12066 13204 15397 18099 19806 24132 29709 30794 36198 39612 46191 59418 61588 72396 92382 118836 138573 178979 184764 277146 293789 347903 357958 536937 554292 571073 587578 695806 715916 881367 1043709 1073874 1142146 1175156 1391612 1610811 1713219 1762734 2087418 2147748 2284292 2644101 3131127 3221622 3426438 3525468 4174836 5139657 5288202 6262254 6443244 6638311 6852876 10279314 10576404 12524508 13276622 19914933 20558628 26553244 30963367 39829866 50825497 59744799 61926734 79659732 92890101 101650994 119489598 123853468 152476491 185780202 203301988 238979196 278670303 304952982 371560404 457429473 557340606 590809679 609905964 914858946 1114681212 1148427803 1181619358 1772429037 1829717892 2296855606 2363238716 3445283409 3544858074 4593711212 5317287111 6890566818 7089716148 10335850227 10634574222 13781133636 20671700454 21269148444 41343400908 102210074467 204420148934 306630223401 408840297868 613260446802 919890670203 1226520893604 1839781340406 3679562680812