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13445250048 = 210332941409
BaseRepresentation
bin11001000010110011…
…00011110000000000
31021201000121110201000
430201121203300000
5210013441000143
610102054212000
7654120511506
oct144131436000
937630543630
1013445250048
11577a5473aa
122732954000
1313636c7679
1491794c676
1553a5a2bd3
hex321663c00

13445250048 has 352 divisors, whose sum is σ = 42299208000. Its totient is φ = 4211343360.

The previous prime is 13445250043. The next prime is 13445250053. The reversal of 13445250048 is 84005254431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13445250043) and next prime (13445250053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13445249994 and 13445250021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13445250043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32873268 + ... + 32873676.

Almost surely, 213445250048 is an apocalyptic number.

13445250048 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 13445250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149604000).

13445250048 is an abundant number, since it is smaller than the sum of its proper divisors (28853957952).

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

13445250048 is a wasteful number, since it uses less digits than its factorization.

13445250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 13445250048 in words is "thirteen billion, four hundred forty-five million, two hundred fifty thousand, forty-eight".