Search a number
-
+
10043486640 = 243251119312153
BaseRepresentation
bin10010101101010001…
…10111000110110000
3221220221120222120200
421112220313012300
5131032113033030
64340334435200
7503613141105
oct112650670660
927827528520
1010043486640
114294317190
121b43662b00
13c40a05005
146b3c42aac
153dbaecd60
hex256a371b0

10043486640 has 480 divisors, whose sum is σ = 40000296960. Its totient is φ = 2231193600.

The previous prime is 10043486639. The next prime is 10043486653. The reversal of 10043486640 is 4668434001.

10043486640 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 4 + 8 + 6 + 640 = 666.

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 = 10043486595 and 10043486604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4663804 + ... + 4665956.

It is an arithmetic number, because the mean of its divisors is an integer number (83333952).

Almost surely, 210043486640 is an apocalyptic number.

10043486640 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 10043486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20000148480).

10043486640 is an abundant number, since it is smaller than the sum of its proper divisors (29956810320).

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

10043486640 is a wasteful number, since it uses less digits than its factorization.

10043486640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10043486640 in words is "ten billion, forty-three million, four hundred eighty-six thousand, six hundred forty".