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13373927424 = 2123211134359
BaseRepresentation
bin11000111010010010…
…11111000000000000
31021112001101220110100
430131021133000000
5204342211134144
610051025402400
7652263336024
oct143511370000
937461356410
1013373927424
115743262690
122712a99400
1313519b4b30
1490c2a4384
155341b5269
hex31d25f000

13373927424 has 624 divisors, whose sum is σ = 47227340160. Its totient is φ = 3592028160.

The previous prime is 13373927417. The next prime is 13373927431. The reversal of 13373927424 is 42472937331.

13373927424 is a `hidden beast` number, since 1 + 3 + 373 + 9 + 274 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13373927417) and next prime (13373927431).

It is a tau number, because it is divible by the number of its divisors (624).

It is a self number, because there is not a number n which added to its sum of digits gives 13373927424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226676707 + ... + 226676765.

It is an arithmetic number, because the mean of its divisors is an integer number (75684840).

Almost surely, 213373927424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13373927424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23613670080).

13373927424 is an abundant number, since it is smaller than the sum of its proper divisors (33853412736).

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

13373927424 is a wasteful number, since it uses less digits than its factorization.

13373927424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 13373927424 in words is "thirteen billion, three hundred seventy-three million, nine hundred twenty-seven thousand, four hundred twenty-four".