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13970097024 = 273132613529
BaseRepresentation
bin11010000001010111…
…01100001110000000
31100001121012110101220
431000223230032000
5212102321101044
610230123355040
71003122602562
oct150053541600
940047173356
1013970097024
115a19834734
12285a682a80
13141836c100
14967531332
1556b6c8019
hex340aec380

13970097024 has 192 divisors, whose sum is σ = 40852407600. Its totient is φ = 4226826240.

The previous prime is 13970097019. The next prime is 13970097041. The reversal of 13970097024 is 42079007931.

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

It is a super-2 number, since 2×139700970242 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3956892 + ... + 3960420.

Almost surely, 213970097024 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 13970097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20426203800).

13970097024 is an abundant number, since it is smaller than the sum of its proper divisors (26882310576).

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

13970097024 is a wasteful number, since it uses less digits than its factorization.

13970097024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 13970097024 in words is "thirteen billion, nine hundred seventy million, ninety-seven thousand, twenty-four".