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106560601666650 = 23252236801337037
BaseRepresentation
bin11000001110101010010010…
…110011110011010001011010
3111222022002112112210102122200
4120032222102303303101122
5102431342103011313100
61014345133053031030
731305515022201015
oct3016522263632132
9458262475712580
10106560601666650
1130a5410868014a
12bb501a9a85476
13475c810911051
141c457bc57637c
15c4bd44839e00
hex60ea92cf345a

106560601666650 has 36 divisors (see below), whose sum is σ = 286292816478942. Its totient is φ = 28416160444320.

The previous prime is 106560601666621. The next prime is 106560601666679. The reversal of 106560601666650 is 56666106065601.

It is an interprime number because it is at equal distance from previous prime (106560601666621) and next prime (106560601666679).

It can be written as a sum of positive squares in 3 ways, for example, as 98245781433801 + 8314820232849 = 9911901^2 + 2883543^2 .

It is a super-2 number, since 2×1065606016666502 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118400668069 + ... + 118400668968.

Almost surely, 2106560601666650 is an apocalyptic number.

106560601666650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106560601666650 is an abundant number, since it is smaller than the sum of its proper divisors (179732214812292).

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

106560601666650 is a wasteful number, since it uses less digits than its factorization.

106560601666650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236801337055 (or 236801337047 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 106560601666650 in words is "one hundred six trillion, five hundred sixty billion, six hundred one million, six hundred sixty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 236801337037 473602674074 710404011111 1184006685185 1420808022222 2131212033333 2368013370370 3552020055555 4262424066666 5920033425925 7104040111110 10656060166665 11840066851850 17760100277775 21312120333330 35520200555550 53280300833325 106560601666650