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64232364240 = 243251120034049
BaseRepresentation
bin111011110100100011…
…000001100011010000
320010210110112012000100
4323310203001203100
52023021441123430
645301414252400
74432511042022
oct736443014320
9203713465010
1064232364240
1125271549a50
1210547357100
136098558025
143174a12012
151a0e0c6960
hexef48c18d0

64232364240 has 240 divisors, whose sum is σ = 235499659200. Its totient is φ = 15559864320.

The previous prime is 64232364227. The next prime is 64232364241. The reversal of 64232364240 is 4246323246.

64232364240 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 2 + 3 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 64232364195 and 64232364204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64232364241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15861736 + ... + 15865784.

It is an arithmetic number, because the mean of its divisors is an integer number (981248580).

Almost surely, 264232364240 is an apocalyptic number.

64232364240 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 64232364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117749829600).

64232364240 is an abundant number, since it is smaller than the sum of its proper divisors (171267294960).

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

64232364240 is a wasteful number, since it uses less digits than its factorization.

64232364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6073 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 64232364240 its reverse (4246323246), we get a palindrome (68478687486).

The spelling of 64232364240 in words is "sixty-four billion, two hundred thirty-two million, three hundred sixty-four thousand, two hundred forty".