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4464575064 = 233347943151
BaseRepresentation
bin1000010100001110…
…00000001001011000
3102112010212220122000
410022013000021120
533120412400224
62015003201000
7215431155555
oct41207001130
912463786560
104464575064
111991155364
12a47216160
13561c524c1
14304d27a2c
151b1e420c9
hex10a1c0258

4464575064 has 64 divisors (see below), whose sum is σ = 12427776000. Its totient is φ = 1485050400.

The previous prime is 4464575047. The next prime is 4464575183. The reversal of 4464575064 is 4605754644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81889 + ... + 125039.

It is an arithmetic number, because the mean of its divisors is an integer number (194184000).

Almost surely, 24464575064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4464575064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213888000).

4464575064 is an abundant number, since it is smaller than the sum of its proper divisors (7963200936).

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

4464575064 is a wasteful number, since it uses less digits than its factorization.

4464575064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43645 (or 43635 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The square root of 4464575064 is about 66817.4757380133. The cubic root of 4464575064 is about 1646.6199633436.

The spelling of 4464575064 in words is "four billion, four hundred sixty-four million, five hundred seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 479 958 1437 1916 2874 3832 4311 5748 8622 11496 12933 17244 25866 34488 43151 51732 86302 103464 129453 172604 258906 345208 388359 517812 776718 1035624 1165077 1553436 2330154 3106872 4660308 9320616 20669329 41338658 62007987 82677316 124015974 165354632 186023961 248031948 372047922 496063896 558071883 744095844 1116143766 1488191688 2232287532 4464575064