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6488940150 = 23252721131863
BaseRepresentation
bin1100000101100010…
…10101111001110110
3121202020002022110200
412002301111321312
5101242132041100
62551520301330
7316542036600
oct60261257166
917666068420
106488940150
11282a923860
121311171846
137c547aa74
14457b26170
1527ea18e00
hex182c55e76

6488940150 has 432 divisors, whose sum is σ = 22863679488. Its totient is φ = 1303344000.

The previous prime is 6488940131. The next prime is 6488940167. The reversal of 6488940150 is 510498846.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6488940096 and 6488940105.

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 215 ways as a sum of consecutive naturals, for example, 7518619 + ... + 7519481.

It is an arithmetic number, because the mean of its divisors is an integer number (52925184).

Almost surely, 26488940150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6488940150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11431839744).

6488940150 is an abundant number, since it is smaller than the sum of its proper divisors (16374739338).

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

6488940150 is a wasteful number, since it uses less digits than its factorization.

6488940150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6488940150 is about 80553.9580033160. The cubic root of 6488940150 is about 1865.1964899701.

The spelling of 6488940150 in words is "six billion, four hundred eighty-eight million, nine hundred forty thousand, one hundred fifty".