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61061106060 = 223252417140351
BaseRepresentation
bin111000110111100001…
…101000100110001100
312211121110020120121200
4320313201220212030
52000023120343220
644015011225500
74261102560243
oct706741504614
9184543216550
1061061106060
1123994447819
12ba012a8290
1359b15408b6
142d5378995a
1518c59a4890
hexe3786898c

61061106060 has 72 divisors (see below), whose sum is σ = 185296640256. Its totient is φ = 16276108800.

The previous prime is 61061106023. The next prime is 61061106103. The reversal of 61061106060 is 6060116016.

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 23 ways as a sum of consecutive naturals, for example, 364885 + ... + 505235.

It is an arithmetic number, because the mean of its divisors is an integer number (2573564448).

Almost surely, 261061106060 is an apocalyptic number.

61061106060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61061106060 is an abundant number, since it is smaller than the sum of its proper divisors (124235534196).

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

61061106060 is a wasteful number, since it uses less digits than its factorization.

61061106060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142783 (or 142778 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 61061106060 in words is "sixty-one billion, sixty-one million, one hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2417 4834 7251 9668 12085 14502 21753 24170 29004 36255 43506 48340 72510 87012 108765 140351 145020 217530 280702 421053 435060 561404 701755 842106 1263159 1403510 1684212 2105265 2526318 2807020 4210530 5052636 6315795 8421060 12631590 25263180 339228367 678456734 1017685101 1356913468 1696141835 2035370202 3053055303 3392283670 4070740404 5088425505 6106110606 6784567340 10176851010 12212221212 15265276515 20353702020 30530553030 61061106060