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64323846144 = 2253371
BaseRepresentation
bin111011111010000000…
…000000000000000000
320011000211122221121000
4323322000000000000
52023213401034034
645314443132000
74435001446065
oct737200000000
9204024587530
1064323846144
1125309152728
1210571b14000
1360b14a862c
143182c26c6c
151a17147599
hexefa000000

64323846144 has 208 divisors, whose sum is σ = 193273525440. Its totient is φ = 21139292160.

The previous prime is 64323846143. The next prime is 64323846163. The reversal of 64323846144 is 44164832346.

64323846144 is a `hidden beast` number, since 6 + 4 + 3 + 23 + 8 + 4 + 614 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64323846144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64323846143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905969629 + ... + 905969699.

Almost surely, 264323846144 is an apocalyptic number.

64323846144 is a gapful number since it is divisible by the number (64) 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 64323846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636762720).

64323846144 is an abundant number, since it is smaller than the sum of its proper divisors (128949679296).

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

64323846144 is an frugal number, since it uses more digits than its factorization.

64323846144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 64323846144 in words is "sixty-four billion, three hundred twenty-three million, eight hundred forty-six thousand, one hundred forty-four".