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13273238880 = 25335111961241
BaseRepresentation
bin11000101110010010…
…11000110101100000
31021021000221101202000
430113021120311200
5204140422121010
610033031324000
7646631445306
oct142711306540
937230841660
1013273238880
1156a1440910
1226a5220600
131336b8cb05
148dcb74276
1552a4267c0
hex317258d60

13273238880 has 768 divisors, whose sum is σ = 54446515200. Its totient is φ = 2985984000.

The previous prime is 13273238863. The next prime is 13273238887. The reversal of 13273238880 is 8883237231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13273238887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55075560 + ... + 55075800.

It is an arithmetic number, because the mean of its divisors is an integer number (70893900).

Almost surely, 213273238880 is an apocalyptic number.

13273238880 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 13273238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27223257600).

13273238880 is an abundant number, since it is smaller than the sum of its proper divisors (41173276320).

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

13273238880 is a wasteful number, since it uses less digits than its factorization.

13273238880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13273238880 in words is "thirteen billion, two hundred seventy-three million, two hundred thirty-eight thousand, eight hundred eighty".