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10489362240 = 263574733211
BaseRepresentation
bin10011100010011011…
…01111011101000000
31000002000120210220210
421301031233131000
5132440234042430
64452503234120
7520636052010
oct116115573500
930060523823
1010489362240
1144a2a76115
122048a48940
13cb21b9626
14717149c40
15415d242b0
hex27136f740

10489362240 has 224 divisors, whose sum is σ = 38872387584. Its totient is φ = 2346485760.

The previous prime is 10489362239. The next prime is 10489362241. The reversal of 10489362240 is 4226398401.

10489362240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10489362239) and next prime (10489362241).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×104893622402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10489362241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 299235 + ... + 332445.

Almost surely, 210489362240 is an apocalyptic number.

10489362240 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 10489362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19436193792).

10489362240 is an abundant number, since it is smaller than the sum of its proper divisors (28383025344).

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

10489362240 is a wasteful number, since it uses less digits than its factorization.

10489362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33285 (or 33275 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 10489362240 in words is "ten billion, four hundred eighty-nine million, three hundred sixty-two thousand, two hundred forty".