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10550399040 = 263551937193
BaseRepresentation
bin10011101001101101…
…00101000001000000
31000020021102210200000
421310312211001000
5133101400232130
64502523400000
7522306624606
oct116466450100
930207383600
1010550399040
114524474a55
122065383000
13cc1a3a48c
147212b7876
1541b37e260
hex274da5040

10550399040 has 672 divisors, whose sum is σ = 40895137920. Its totient is φ = 2579890176.

The previous prime is 10550399039. The next prime is 10550399047. The reversal of 10550399040 is 4099305501.

10550399040 is a `hidden beast` number, since 10 + 550 + 3 + 9 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×105503990402 (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 a junction number, because it is equal to n+sod(n) for n = 10550398986 and 10550399004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10550399047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54665184 + ... + 54665376.

It is an arithmetic number, because the mean of its divisors is an integer number (60855860).

Almost surely, 210550399040 is an apocalyptic number.

10550399040 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 10550399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447568960).

10550399040 is an abundant number, since it is smaller than the sum of its proper divisors (30344738880).

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

10550399040 is a wasteful number, since it uses less digits than its factorization.

10550399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 10550399040 in words is "ten billion, five hundred fifty million, three hundred ninety-nine thousand, forty".