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864101554640 = 24510801269433
BaseRepresentation
bin11001001001100000111…
…01110101100111010000
310001121101201112002221222
430210300131311213100
5103124134444222030
61500543543104212
7116300146011662
oct14446035654720
93047351462858
10864101554640
11303510889535
1211b575a42068
136363b39456c
142db73846532
1517725b7a3e5
hexc9307759d0

864101554640 has 20 divisors (see below), whose sum is σ = 2009036114724. Its totient is φ = 345640621824.

The previous prime is 864101554517. The next prime is 864101554661. The reversal of 864101554640 is 46455101468.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 252220910656 + 611880643984 = 502216^2 + 782228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 864101554591 and 864101554600.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5400634637 + ... + 5400634796.

Almost surely, 2864101554640 is an apocalyptic number.

864101554640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864101554640 is an abundant number, since it is smaller than the sum of its proper divisors (1144934560084).

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

864101554640 is a wasteful number, since it uses less digits than its factorization.

864101554640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10801269446 (or 10801269440 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 864101554640 in words is "eight hundred sixty-four billion, one hundred one million, five hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10801269433 21602538866 43205077732 54006347165 86410155464 108012694330 172820310928 216025388660 432050777320 864101554640