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13452823488 = 2631331372127
BaseRepresentation
bin11001000011101100…
…11100101111000000
31021201112212020111210
430201312130233000
5210022410322423
610102524410120
7654242053506
oct144166345700
937645766453
1013452823488
11578384a445
1227353a6940
1313651498b0
14918960676
1553b09bb93
hex321d9cbc0

13452823488 has 336 divisors, whose sum is σ = 40986968064. Its totient is φ = 3866849280.

The previous prime is 13452823481. The next prime is 13452823507. The reversal of 13452823488 is 88432825431.

It is a super-2 number, since 2×134528234882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13452823481) 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, 105927681 + ... + 105927807.

It is an arithmetic number, because the mean of its divisors is an integer number (121985024).

Almost surely, 213452823488 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 13452823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20493484032).

13452823488 is an abundant number, since it is smaller than the sum of its proper divisors (27534144576).

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

13452823488 is a wasteful number, since it uses less digits than its factorization.

13452823488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 213 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The spelling of 13452823488 in words is "thirteen billion, four hundred fifty-two million, eight hundred twenty-three thousand, four hundred eighty-eight".