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13076448000 = 283537112961
BaseRepresentation
bin11000010110110101…
…01100001100000000
31020202022122101101220
430023122230030000
5203240032314000
610001321355040
7642021655050
oct141332541400
936668571356
1013076448000
11560034aa20
12264b338a80
13130518a3c5
148c0989560
155180031a0
hex30b6ac300

13076448000 has 1152 divisors, whose sum is σ = 56936355840. Its totient is φ = 2580480000.

The previous prime is 13076447983. The next prime is 13076448001. The reversal of 13076448000 is 84467031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13076448001) 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 127 ways as a sum of consecutive naturals, for example, 214367970 + ... + 214368030.

It is an arithmetic number, because the mean of its divisors is an integer number (49423920).

Almost surely, 213076448000 is an apocalyptic number.

13076448000 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 13076448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28468177920).

13076448000 is an abundant number, since it is smaller than the sum of its proper divisors (43859907840).

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

13076448000 is a wasteful number, since it uses less digits than its factorization.

13076448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 13076448000 in words is "thirteen billion, seventy-six million, four hundred forty-eight thousand".