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13396128080 = 2451513593089
BaseRepresentation
bin11000111100111100…
…01011000101010000
31021120121011211000212
430132132023011100
5204413402044310
610053141303252
7652653131666
oct143636130520
937517154025
1013396128080
115754846335
12271a404b28
131356488b0a
14911202c36
155360ed205
hex31e78b150

13396128080 has 80 divisors (see below), whose sum is σ = 31449772800. Its totient is φ = 5306419200.

The previous prime is 13396128059. The next prime is 13396128089. The reversal of 13396128080 is 8082169331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13396128089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4335176 + ... + 4338264.

It is an arithmetic number, because the mean of its divisors is an integer number (393122160).

Almost surely, 213396128080 is an apocalyptic number.

13396128080 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 13396128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724886400).

13396128080 is an abundant number, since it is smaller than the sum of its proper divisors (18053644720).

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

13396128080 is a wasteful number, since it uses less digits than its factorization.

13396128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 13396128080 in words is "thirteen billion, three hundred ninety-six million, one hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 359 604 718 755 1208 1436 1510 1795 2416 2872 3020 3089 3590 5744 6040 6178 7180 12080 12356 14360 15445 24712 28720 30890 49424 54209 61780 108418 123560 216836 247120 271045 433672 466439 542090 867344 932878 1084180 1108951 1865756 2168360 2217902 2332195 3731512 4336720 4435804 4664390 5544755 7463024 8871608 9328780 11089510 17743216 18657560 22179020 37315120 44358040 88716080 167451601 334903202 669806404 837258005 1339612808 1674516010 2679225616 3349032020 6698064040 13396128080