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13448601600 = 21335275359
BaseRepresentation
bin11001000011001100…
…10110000000000000
31021201020220202011120
430201212112000000
5210020320222400
610102254112240
7654161141010
oct144146260000
937636822146
1013448601600
115781426485
122733aab680
1313642cc035
14918181c40
1553aa15ca0
hex321996000

13448601600 has 672 divisors, whose sum is σ = 52656272640. Its totient is φ = 2964848640.

The previous prime is 13448601563. The next prime is 13448601601. The reversal of 13448601600 is 610684431.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13448601601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227942371 + ... + 227942429.

Almost surely, 213448601600 is an apocalyptic number.

13448601600 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 13448601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26328136320).

13448601600 is an abundant number, since it is smaller than the sum of its proper divisors (39207671040).

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

13448601600 is an equidigital number, since it uses as much as digits as its factorization.

13448601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

It can be divided in two parts, 1344 and 8601600, that multiplied together give a square (11560550400 = 1075202).

The spelling of 13448601600 in words is "thirteen billion, four hundred forty-eight million, six hundred one thousand, six hundred".