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261564201046146 = 23431013814732737
BaseRepresentation
bin111011011110010000101001…
…010010100001000010000010
31021022010021220220020202221010
4323132100221102201002002
5233240431440431434041
62324144533552541350
7106044250511055405
oct7336205122410202
91238107826222833
10261564201046146
1176384833586a69
1225404a89851856
13b2c4524164a6b
144883abc3a5d3c
152038d42478a16
hexede4294a1082

261564201046146 has 16 divisors (see below), whose sum is σ = 535294178885664. Its totient is φ = 85160437549824.

The previous prime is 261564201046139. The next prime is 261564201046147. The reversal of 261564201046146 is 641640102465162.

It is a junction number, because it is equal to n+sod(n) for n = 261564201046095 and 261564201046104.

It is not an unprimeable number, because it can be changed into a prime (261564201046147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506907366111 + ... + 506907366626.

It is an arithmetic number, because the mean of its divisors is an integer number (33455886180354).

Almost surely, 2261564201046146 is an apocalyptic number.

261564201046146 is an abundant number, since it is smaller than the sum of its proper divisors (273729977839518).

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

261564201046146 is a wasteful number, since it uses less digits than its factorization.

261564201046146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013814732785.

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 261564201046146 in words is "two hundred sixty-one trillion, five hundred sixty-four billion, two hundred one million, forty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 43 86 129 258 1013814732737 2027629465474 3041444198211 6082888396422 43594033507691 87188067015382 130782100523073 261564201046146