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64103475584 = 271928393139
BaseRepresentation
bin111011101100110111…
…010110100110000000
320010110110222222000102
4323230313112212000
52022240442204314
645240531541532
74426354360241
oct735467264600
9203413888012
1064103475584
1125205816aa5
121051015a8a8
13607793b355
143161860cc8
151a02b175de
hexeecdd6980

64103475584 has 64 divisors (see below), whose sum is σ = 134903976000. Its totient is φ = 30257183232.

The previous prime is 64103475539. The next prime is 64103475587. The reversal of 64103475584 is 48557430146.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64103475587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641687 + ... + 734825.

It is an arithmetic number, because the mean of its divisors is an integer number (2107874625).

Almost surely, 264103475584 is an apocalyptic number.

64103475584 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 64103475584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67451988000).

64103475584 is an abundant number, since it is smaller than the sum of its proper divisors (70800500416).

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

64103475584 is a wasteful number, since it uses less digits than its factorization.

64103475584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93455 (or 93443 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 64103475584 in words is "sixty-four billion, one hundred three million, four hundred seventy-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 283 304 566 608 1132 1216 2264 2432 4528 5377 9056 10754 18112 21508 36224 43016 86032 93139 172064 186278 344128 372556 688256 745112 1490224 1769641 2980448 3539282 5960896 7078564 11921792 14157128 26358337 28314256 52716674 56628512 105433348 113257024 210866696 226514048 421733392 500808403 843466784 1001616806 1686933568 2003233612 3373867136 4006467224 8012934448 16025868896 32051737792 64103475584