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10536108900 = 22352293771461
BaseRepresentation
bin10011101000000000…
…00100001101100100
31000012021112210021120
421310000010031210
5133034220441100
64501253213540
7522044306442
oct116400041544
930167483246
1010536108900
1145173a4619
1220606312b0
13cbbaa5c85
1471d437b92
15419eaa0a0
hex274004364

10536108900 has 288 divisors, whose sum is σ = 32915393280. Its totient is φ = 2596608000.

The previous prime is 10536108899. The next prime is 10536108901. The reversal of 10536108900 is 980163501.

It is an interprime number because it is at equal distance from previous prime (10536108899) and next prime (10536108901).

It is a super-2 number, since 2×105361089002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10536108901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22854670 + ... + 22855130.

It is an arithmetic number, because the mean of its divisors is an integer number (114289560).

Almost surely, 210536108900 is an apocalyptic number.

10536108900 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 10536108900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457696640).

10536108900 is an abundant number, since it is smaller than the sum of its proper divisors (22379284380).

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

10536108900 is a wasteful number, since it uses less digits than its factorization.

10536108900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10536108900 in words is "ten billion, five hundred thirty-six million, one hundred eight thousand, nine hundred".