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10534101732 = 22337211216451
BaseRepresentation
bin10011100111110000…
…11010001011100100
31000012010202210222000
421303320122023210
5133033212223412
64501142205300
7522021246600
oct116370321344
930163683860
1010534101732
114516253600
12205ba23830
13cbb5524bb
1471d074500
15419c104dc
hex273e1a2e4

10534101732 has 216 divisors, whose sum is σ = 34922331360. Its totient is φ = 2735964000.

The previous prime is 10534101709. The next prime is 10534101749. The reversal of 10534101732 is 23710143501.

10534101732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×105341017324 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10534101696 and 10534101705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 632107 + ... + 648557.

It is an arithmetic number, because the mean of its divisors is an integer number (161677460).

Almost surely, 210534101732 is an apocalyptic number.

10534101732 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 10534101732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461165680).

10534101732 is an abundant number, since it is smaller than the sum of its proper divisors (24388229628).

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

10534101732 is a wasteful number, since it uses less digits than its factorization.

10534101732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16500 (or 16474 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10534101732 in words is "ten billion, five hundred thirty-four million, one hundred one thousand, seven hundred thirty-two".