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13466836320 = 2535743831123
BaseRepresentation
bin11001000101010111…
…11001110101100000
31021202112020011111120
430202223321311200
5210040002230240
610104145012240
7654502135320
oct144253716540
937675204446
1013466836320
1157907504a3
12273a024080
131368014b02
1491a76b280
1553c418ad0
hex322af9d60

13466836320 has 384 divisors, whose sum is σ = 50250461184. Its totient is φ = 2967681024.

The previous prime is 13466836309. The next prime is 13466836393. The reversal of 13466836320 is 2363866431.

13466836320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134668363202 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11991279 + ... + 11992401.

It is an arithmetic number, because the mean of its divisors is an integer number (130860576).

Almost surely, 213466836320 is an apocalyptic number.

13466836320 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 13466836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25125230592).

13466836320 is an abundant number, since it is smaller than the sum of its proper divisors (36783624864).

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

13466836320 is a wasteful number, since it uses less digits than its factorization.

13466836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 13466836320 in words is "thirteen billion, four hundred sixty-six million, eight hundred thirty-six thousand, three hundred twenty".