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10534054440 = 23357138591123
BaseRepresentation
bin10011100111110000…
…01110101000101000
31000012010200102002110
421303320032220220
5133033204220230
64501141202320
7522020661660
oct116370165050
930163612073
1010534054440
114516221018
12205ba003a0
13cbb536b10
1471d0611a0
15419c014b0
hex273e0ea28

10534054440 has 256 divisors, whose sum is σ = 38974924800. Its totient is φ = 2218005504.

The previous prime is 10534054397. The next prime is 10534054451. The reversal of 10534054440 is 4445043501.

It is a super-2 number, since 2×105340544402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10534054398 and 10534054407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9379719 + ... + 9380841.

It is an arithmetic number, because the mean of its divisors is an integer number (152245800).

Almost surely, 210534054440 is an apocalyptic number.

10534054440 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 10534054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487462400).

10534054440 is an abundant number, since it is smaller than the sum of its proper divisors (28440870360).

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

10534054440 is a wasteful number, since it uses less digits than its factorization.

10534054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 10534054440 its reverse (4445043501), we get a palindrome (14979097941).

The spelling of 10534054440 in words is "ten billion, five hundred thirty-four million, fifty-four thousand, four hundred forty".