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13608483840 = 2103357441
BaseRepresentation
bin11001010110010000…
…01111110000000000
31022010101202121101000
430223020033300000
5210332232440330
610130205012000
7661142130000
oct145310176000
938111677330
1013608483840
1158536a8366
122779554000
13138b47b003
149314c0000
15549a98560
hex32b20fc00

13608483840 has 880 divisors, whose sum is σ = 57795161760. Its totient is φ = 3034644480.

The previous prime is 13608483803. The next prime is 13608483841. The reversal of 13608483840 is 4838480631.

13608483840 is a `hidden beast` number, since 1 + 3 + 608 + 4 + 8 + 38 + 4 + 0 = 666.

It is a super-2 number, since 2×136084838402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13608483841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 331914220 + ... + 331914260.

Almost surely, 213608483840 is an apocalyptic number.

13608483840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13608483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28897580880).

13608483840 is an abundant number, since it is smaller than the sum of its proper divisors (44186677920).

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

13608483840 is an frugal number, since it uses more digits than its factorization.

13608483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13608483840 in words is "thirteen billion, six hundred eight million, four hundred eighty-three thousand, eight hundred forty".