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13228500096 = 2735760757
BaseRepresentation
bin11000101000111101…
…01110010010000000
31021010220202102200000
430110132232102000
5204042444000341
610024352400000
7645546252450
oct142436562200
937126672600
1013228500096
115679163a09
122692246000
13132a827366
148d6c49d60
1552653a8b6
hex3147ae480

13228500096 has 192 divisors, whose sum is σ = 45116460480. Its totient is φ = 3779509248.

The previous prime is 13228500049. The next prime is 13228500101. The reversal of 13228500096 is 69000582231.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13228500096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187350 + ... + 248106.

It is an arithmetic number, because the mean of its divisors is an integer number (234981565).

Almost surely, 213228500096 is an apocalyptic number.

13228500096 is a gapful number since it is divisible by the number (16) 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 13228500096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558230240).

13228500096 is an abundant number, since it is smaller than the sum of its proper divisors (31887960384).

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

13228500096 is an frugal number, since it uses more digits than its factorization.

13228500096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60793 (or 60769 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13228500096 in words is "thirteen billion, two hundred twenty-eight million, five hundred thousand, ninety-six".