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1361664546 = 2311215112421
BaseRepresentation
bin101000100101001…
…0101101000100010
310111220012201121020
41101022111220202
510242041231141
6343041110310
745512646324
oct12112255042
93456181536
101361664546
11639695800
12320028396
13189148788
14ccbb3614
157e821266
hex51295a22

1361664546 has 48 divisors (see below), whose sum is σ = 3013477824. Its totient is φ = 409860000.

The previous prime is 1361664533. The next prime is 1361664613. The reversal of 1361664546 is 6454661631.

It is a super-2 number, since 2×13616645462 = 3708260671666772232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1361664498 and 1361664507.

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, 103416 + ... + 115836.

It is an arithmetic number, because the mean of its divisors is an integer number (62780788).

Almost surely, 21361664546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361664546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506738912).

1361664546 is an abundant number, since it is smaller than the sum of its proper divisors (1651813278).

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

1361664546 is a wasteful number, since it uses less digits than its factorization.

1361664546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12599 (or 12588 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 1361664546 is about 36900.7390982891. The cubic root of 1361664546 is about 1108.3834776542.

The spelling of 1361664546 in words is "one billion, three hundred sixty-one million, six hundred sixty-four thousand, five hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 151 242 302 363 453 726 906 1661 3322 4983 9966 12421 18271 24842 36542 37263 54813 74526 109626 136631 273262 409893 819786 1502941 1875571 3005882 3751142 4508823 5626713 9017646 11253426 20631281 41262562 61893843 123787686 226944091 453888182 680832273 1361664546