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10489095540 = 223357112171971
BaseRepresentation
bin10011100010011001…
…01110010101110100
31000002000002021002000
421301030232111310
5132440202024130
64452453415300
7520633561320
oct116114562564
930060067060
1010489095540
1144a2903800
12204893a530
13cb2125111
147170ba980
15415cc0260
hex27132e574

10489095540 has 1152 divisors, whose sum is σ = 46332518400. Its totient is φ = 1916006400.

The previous prime is 10489095511. The next prime is 10489095583. The reversal of 10489095540 is 4559098401.

10489095540 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 90 + 9 + 554 + 0 = 666.

10489095540 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-2 number, since 2×104890955402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 147733705 + ... + 147733775.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 210489095540 is an apocalyptic number.

10489095540 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 10489095540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23166259200).

10489095540 is an abundant number, since it is smaller than the sum of its proper divisors (35843422860).

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

10489095540 is a wasteful number, since it uses less digits than its factorization.

10489095540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10489095540 in words is "ten billion, four hundred eighty-nine million, ninety-five thousand, five hundred forty".