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10638243000 = 23335372111743
BaseRepresentation
bin10011110100001011…
…01011010010111000
31000110101201201221000
421322011223102320
5133241342234000
64515342245000
7524424400500
oct117205532270
930411651830
1010638243000
11456a013470
12208a886760
131006cb5c58
1472cc22a00
15423e32000
hex27a16b4b8

10638243000 has 1536 divisors, whose sum is σ = 50705740800. Its totient is φ = 2032128000.

The previous prime is 10638242987. The next prime is 10638243001. The reversal of 10638243000 is 34283601.

It is a happy number.

10638243000 is a `hidden beast` number, since 1 + 0 + 638 + 24 + 3 + 0 + 0 + 0 = 666.

10638243000 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 2×106382430002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638243001) 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 383 ways as a sum of consecutive naturals, for example, 247400979 + ... + 247401021.

It is an arithmetic number, because the mean of its divisors is an integer number (33011550).

Almost surely, 210638243000 is an apocalyptic number.

10638243000 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 10638243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25352870400).

10638243000 is an abundant number, since it is smaller than the sum of its proper divisors (40067497800).

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

10638243000 is a wasteful number, since it uses less digits than its factorization.

10638243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10638243000 in words is "ten billion, six hundred thirty-eight million, two hundred forty-three thousand".