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64726028640 = 25335721343547
BaseRepresentation
bin111100010001111110…
…001101000101100000
320012001212102221021000
4330101332031011200
52030024330404030
645422411232000
74450654110600
oct742176150540
9205055387230
1064726028640
11254a5179359
1210664748600
136146902440
1431c03d8c00
151a3c5dc860
hexf11f8d160

64726028640 has 1152 divisors, whose sum is σ = 290929605120. Its totient is φ = 13314502656.

The previous prime is 64726028639. The next prime is 64726028641. The reversal of 64726028640 is 4682062746.

64726028640 is a `hidden beast` number, since 6 + 472 + 60 + 2 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (64726028639) and next prime (64726028641).

It is a super-2 number, since 2×647260286402 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64726028641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 118328847 + ... + 118329393.

It is an arithmetic number, because the mean of its divisors is an integer number (252543060).

Almost surely, 264726028640 is an apocalyptic number.

64726028640 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 64726028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145464802560).

64726028640 is an abundant number, since it is smaller than the sum of its proper divisors (226203576480).

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

64726028640 is a wasteful number, since it uses less digits than its factorization.

64726028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 64726028640 in words is "sixty-four billion, seven hundred twenty-six million, twenty-eight thousand, six hundred forty".