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13397225591232 = 2633722353293443
BaseRepresentation
bin1100001011110100100011…
…0111110101000111000000
31202102202120200112022221000
43002331020313311013000
53224000004222404412
644254333411332000
72551626511411200
oct302751067650700
952382520468830
1013397225591232
1142a580564378a
12160457b8b1000
13762478589862
14344601946400
1518375c6ed4dc
hexc2f48df51c0

13397225591232 has 1344 divisors, whose sum is σ = 48986213391360. Its totient is φ = 3571929833472.

The previous prime is 13397225591227. The next prime is 13397225591263. The reversal of 13397225591232 is 23219552279331.

13397225591232 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 7 + 2 + 25 + 591 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×133972255912322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30242044003 + ... + 30242044445.

It is an arithmetic number, because the mean of its divisors is an integer number (36448075440).

Almost surely, 213397225591232 is an apocalyptic number.

13397225591232 is a gapful number since it is divisible by the number (12) 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 13397225591232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24493106695680).

13397225591232 is an abundant number, since it is smaller than the sum of its proper divisors (35588987800128).

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

13397225591232 is a wasteful number, since it uses less digits than its factorization.

13397225591232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 824 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 13397225591232 in words is "thirteen trillion, three hundred ninety-seven billion, two hundred twenty-five million, five hundred ninety-one thousand, two hundred thirty-two".