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13402392192 = 273472233137
BaseRepresentation
bin11000111101101100…
…00100011010000000
31021121000222001210000
430132312010122000
5204422003022232
610053523440000
7653060311500
oct143666043200
937530861700
1013402392192
115758334692
122720526000
1313578700a7
14911d93a00
1553693927c
hex31ed84680

13402392192 has 960 divisors, whose sum is σ = 51326922240. Its totient is φ = 3448811520.

The previous prime is 13402392181. The next prime is 13402392193. The reversal of 13402392192 is 29129320431.

13402392192 is a `hidden beast` number, since 1 + 3 + 402 + 39 + 219 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402392193) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 362226798 + ... + 362226834.

It is an arithmetic number, because the mean of its divisors is an integer number (53465544).

Almost surely, 213402392192 is an apocalyptic number.

13402392192 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 13402392192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25663461120).

13402392192 is an abundant number, since it is smaller than the sum of its proper divisors (37924530048).

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

13402392192 is a wasteful number, since it uses less digits than its factorization.

13402392192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

It can be divided in two parts, 1340239 and 2192, that added together give a palindrome (1342431).

The spelling of 13402392192 in words is "thirteen billion, four hundred two million, three hundred ninety-two thousand, one hundred ninety-two".