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61661402320200 = 23352313315129157
BaseRepresentation
bin11100000010100101010011…
…11110110100110101001000
322002022202212010222001100220
432001102221332310311020
531040230022443221300
6335050505052030040
715662614013565324
oct1601225176646510
9262282763861326
1061661402320200
11187134aa111571
126aba486a62320
132853850913277
1411325dbc30984
1571de4ba8bda0
hex3814a9fb4d48

61661402320200 has 96 divisors (see below), whose sum is σ = 197316487484160. Its totient is φ = 15912619948800.

The previous prime is 61661402320139. The next prime is 61661402320261. The reversal of 61661402320200 is 202320416616.

It is an interprime number because it is at equal distance from previous prime (61661402320139) and next prime (61661402320261).

It is a super-3 number, since 3×616614023202003 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1657545979 + ... + 1657583178.

It is an arithmetic number, because the mean of its divisors is an integer number (2055380077960).

Almost surely, 261661402320200 is an apocalyptic number.

61661402320200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61661402320200 is an abundant number, since it is smaller than the sum of its proper divisors (135655085163960).

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

61661402320200 is a wasteful number, since it uses less digits than its factorization.

61661402320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315129207 (or 3315129198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 61661402320200 its reverse (202320416616), we get a palindrome (61863722736816).

The spelling of 61661402320200 in words is "sixty-one trillion, six hundred sixty-one billion, four hundred two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 3315129157 6630258314 9945387471 13260516628 16575645785 19890774942 26521033256 33151291570 39781549884 49726937355 66302583140 79563099768 82878228925 99453874710 102769003867 132605166280 165756457850 198907749420 205538007734 248634686775 308307011601 331512915700 397815498840 411076015468 497269373550 513845019335 616614023202 663025831400 822152030936 994538747100 1027690038670 1233228046404 1541535058005 1989077494200 2055380077340 2466456092808 2569225096675 3083070116010 4110760154680 5138450193350 6166140232020 7707675290025 10276900386700 12332280464040 15415350580050 20553800773400 30830701160100 61661402320200