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66924482040 = 2333513192941211
BaseRepresentation
bin111110010101000000…
…101000110111111000
320101202002012221101000
4332111000220313320
52044030131411130
650424503525000
74556310465663
oct762500506770
9211662187330
1066924482040
1126423141999
1210b78a59760
136407211b40
14334c3926da
151b1a601260
hexf95028df8

66924482040 has 1024 divisors, whose sum is σ = 269256960000. Its totient is φ = 14631321600.

The previous prime is 66924482017. The next prime is 66924482057. The reversal of 66924482040 is 4028442966.

66924482040 is a `hidden beast` number, since 66 + 92 + 448 + 20 + 40 = 666.

66924482040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 317177535 + ... + 317177745.

It is an arithmetic number, because the mean of its divisors is an integer number (262946250).

Almost surely, 266924482040 is an apocalyptic number.

66924482040 is a gapful number since it is divisible by the number (60) 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 66924482040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134628480000).

66924482040 is an abundant number, since it is smaller than the sum of its proper divisors (202332477960).

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

66924482040 is a wasteful number, since it uses less digits than its factorization.

66924482040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 66924482040 in words is "sixty-six billion, nine hundred twenty-four million, four hundred eighty-two thousand, forty".