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4544032064 = 261121345137
BaseRepresentation
bin1000011101101100…
…00110110101000000
3102201200101202010212
410032312012311000
533301233011224
62030522213252
7220414430615
oct41666066500
912650352125
104544032064
111a21a95600
12a69954228
13575552690
143116cc50c
151b8dd9d0e
hex10ed86d40

4544032064 has 84 divisors (see below), whose sum is σ = 10673963412. Its totient is φ = 1906544640.

The previous prime is 4544032037. The next prime is 4544032079. The reversal of 4544032064 is 4602304454.

It can be written as a sum of positive squares in 2 ways, for example, as 651270400 + 3892761664 = 25520^2 + 62392^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4544032064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78104 + ... + 123240.

It is an arithmetic number, because the mean of its divisors is an integer number (127070993).

Almost surely, 24544032064 is an apocalyptic number.

4544032064 is a gapful number since it is divisible by the number (44) 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 4544032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336981706).

4544032064 is an abundant number, since it is smaller than the sum of its proper divisors (6129931348).

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

4544032064 is a wasteful number, since it uses less digits than its factorization.

4544032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45184 (or 45163 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 4544032064 is about 67409.4360160356. The cubic root of 4544032064 is about 1656.3309956279.

The spelling of 4544032064 in words is "four billion, five hundred forty-four million, thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 208 242 286 352 416 484 572 704 832 968 1144 1573 1936 2288 3146 3872 4576 6292 7744 9152 12584 25168 45137 50336 90274 100672 180548 361096 496507 586781 722192 993014 1173562 1444384 1986028 2347124 2888768 3972056 4694248 5461577 6454591 7944112 9388496 10923154 12909182 15888224 18776992 21846308 25818364 31776448 37553984 43692616 51636728 71000501 87385232 103273456 142001002 174770464 206546912 284002004 349540928 413093824 568004008 1136008016 2272016032 4544032064