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13345855488 = 2113671277
BaseRepresentation
bin11000110110111100…
…11001100000000000
31021110002120201000000
430123132121200000
5204313014333423
610044144000000
7651502620450
oct143336314000
937402521000
1013345855488
115729429839
122705600000
131348c36614
14908677d60
155319bc843
hex31b799800

13345855488 has 336 divisors, whose sum is σ = 45760937040. Its totient is φ = 3810115584.

The previous prime is 13345855487. The next prime is 13345855507. The reversal of 13345855488 is 88455854331.

13345855488 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 5 + 8 + 554 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×133458554882 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345855487) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450306 + ... + 10451582.

It is an arithmetic number, because the mean of its divisors is an integer number (136193265).

Almost surely, 213345855488 is an apocalyptic number.

13345855488 is a gapful number since it is divisible by the number (18) 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 13345855488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22880468520).

13345855488 is an abundant number, since it is smaller than the sum of its proper divisors (32415081552).

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

13345855488 is an frugal number, since it uses more digits than its factorization.

13345855488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1289 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 13345855488 in words is "thirteen billion, three hundred forty-five million, eight hundred fifty-five thousand, four hundred eighty-eight".