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61423313805 = 3257414755967
BaseRepresentation
bin111001001101000111…
…010110001110001101
312212112200210122020100
4321031013112032031
52001243332020210
644114550441313
74303061360430
oct711507261615
9185480718210
1061423313805
112405a94a867
12baa2663239
135a3b5ac4c9
142d89913817
1518e76a05c0
hexe4d1d638d

61423313805 has 48 divisors (see below), whose sum is σ = 124644409344. Its totient is φ = 27394364160.

The previous prime is 61423313801. The next prime is 61423313813. The reversal of 61423313805 is 50831332416.

61423313805 is a `hidden beast` number, since 614 + 2 + 3 + 3 + 1 + 38 + 0 + 5 = 666.

It is not a de Polignac number, because 61423313805 - 22 = 61423313801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61423313805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61423313801) 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 47 ways as a sum of consecutive naturals, for example, 2365069 + ... + 2390898.

It is an arithmetic number, because the mean of its divisors is an integer number (2596758528).

Almost surely, 261423313805 is an apocalyptic number.

It is an amenable number.

61423313805 is an abundant number, since it is smaller than the sum of its proper divisors (63221095539).

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

61423313805 is a wasteful number, since it uses less digits than its factorization.

61423313805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756026 (or 4756023 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 61423313805 in words is "sixty-one billion, four hundred twenty-three million, three hundred thirteen thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2583 4305 12915 4755967 14267901 23779835 33291769 42803703 71339505 99875307 166458845 194994647 214018515 299625921 499376535 584983941 974973235 1364962529 1498129605 1754951823 2924919705 4094887587 6824812645 8774759115 12284662761 20474437935 61423313805