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123493932288 = 28345955533
BaseRepresentation
bin111001100000011001…
…1111101110100000000
3102210202111121202120000
41303000303331310000
54010403421313123
6132422103320000
711631203050626
oct1630063756400
9383674552500
10123493932288
1148412118171
121bb25a50000
13b85100ac1c
145d973a5516
15332bab4b43
hex1cc0cfdd00

123493932288 has 90 divisors (see below), whose sum is σ = 368236622754. Its totient is φ = 41164637184.

The previous prime is 123493932271. The next prime is 123493932313. The reversal of 123493932288 is 882239394321.

123493932288 is a `hidden beast` number, since 1 + 23 + 4 + 9 + 393 + 228 + 8 = 666.

123493932288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 102840793344 + 20653138944 = 320688^2 + 143712^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2957031 + ... + 2998502.

Almost surely, 2123493932288 is an apocalyptic number.

123493932288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123493932288 is an abundant number, since it is smaller than the sum of its proper divisors (244742690466).

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

123493932288 is an frugal number, since it uses more digits than its factorization.

123493932288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955561 (or 5955538 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 123493932288 in words is "one hundred twenty-three billion, four hundred ninety-three million, nine hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 5955533 11911066 17866599 23822132 35733198 47644264 53599797 71466396 95288528 107199594 142932792 160799391 190577056 214399188 285865584 321598782 381154112 428798376 482398173 571731168 643197564 762308224 857596752 964796346 1143462336 1286395128 1524616448 1715193504 1929592692 2286924672 2572790256 3430387008 3859185384 4573849344 5145580512 6860774016 7718370768 10291161024 13721548032 15436741536 20582322048 30873483072 41164644096 61746966144 123493932288