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13452502144 = 271631733727
BaseRepresentation
bin11001000011101010…
…01110010010000000
31021201112020220201011
430201311032102000
5210022320032034
610102513450304
7654236244604
oct144165162200
937645226634
1013452502144
11578364aa74
122735270994
131365066553
149188b9504
1553b036864
hex321d4e480

13452502144 has 64 divisors (see below), whose sum is σ = 27127463040. Its totient is φ = 6644560896.

The previous prime is 13452502127. The next prime is 13452502153. The reversal of 13452502144 is 44120525431.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3607609 + ... + 3611335.

It is an arithmetic number, because the mean of its divisors is an integer number (423866610).

Almost surely, 213452502144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13452502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13563731520).

13452502144 is an abundant number, since it is smaller than the sum of its proper divisors (13674960896).

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

13452502144 is a wasteful number, since it uses less digits than its factorization.

13452502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 13452502144 in words is "thirteen billion, four hundred fifty-two million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 163 173 326 346 652 692 1304 1384 2608 2768 3727 5216 5536 7454 10432 11072 14908 20864 22144 28199 29816 56398 59632 112796 119264 225592 238528 451184 477056 607501 644771 902368 1215002 1289542 1804736 2430004 2579084 3609472 4860008 5158168 9720016 10316336 19440032 20632672 38880064 41265344 77760128 82530688 105097673 210195346 420390692 840781384 1681562768 3363125536 6726251072 13452502144