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10534406454 = 233111321011039
BaseRepresentation
bin10011100111110011…
…00100100100110110
31000012011100021222000
421303321210210312
5133033302001304
64501152520130
7522023656155
oct116371444466
930164307860
1010534406454
114516441540
12205bb50046
13cbb62b100
1471d11359c
15419c70939
hex273e64936

10534406454 has 192 divisors, whose sum is σ = 27954201600. Its totient is φ = 2914704000.

The previous prime is 10534406447. The next prime is 10534406459. The reversal of 10534406454 is 45460443501.

10534406454 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 4 + 0 + 645 + 4 = 666.

It is a super-2 number, since 2×105344064542 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534406459) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10138467 + ... + 10139505.

It is an arithmetic number, because the mean of its divisors is an integer number (145594800).

Almost surely, 210534406454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10534406454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977100800).

10534406454 is an abundant number, since it is smaller than the sum of its proper divisors (17419795146).

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

10534406454 is a wasteful number, since it uses less digits than its factorization.

10534406454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10534406454 its reverse (45460443501), we get a palindrome (55994849955).

The spelling of 10534406454 in words is "ten billion, five hundred thirty-four million, four hundred six thousand, four hundred fifty-four".