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10534484520 = 23325721735129
BaseRepresentation
bin10011100111110011…
…10111101000101000
31000012011111021001100
421303321313220220
5133033312001040
64501154321400
7522024432600
oct116371675050
930164437040
1010534484520
11451649515a
12205bb89260
13cbb6577c1
1471d133c00
15419c88b30
hex273e77a28

10534484520 has 288 divisors, whose sum is σ = 42170754600. Its totient is φ = 2266177536.

The previous prime is 10534484497. The next prime is 10534484533. The reversal of 10534484520 is 2548443501.

It is a happy number.

10534484520 is a `hidden beast` number, since 1 + 0 + 53 + 4 + 4 + 84 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7333867044 + 3200617476 = 85638^2 + 56574^2 .

It is a super-2 number, since 2×105344845202 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282316 + ... + 317444.

Almost surely, 210534484520 is an apocalyptic number.

10534484520 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 10534484520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21085377300).

10534484520 is an abundant number, since it is smaller than the sum of its proper divisors (31636270080).

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

10534484520 is a wasteful number, since it uses less digits than its factorization.

10534484520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35177 (or 35163 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 10534484520 in words is "ten billion, five hundred thirty-four million, four hundred eighty-four thousand, five hundred twenty".