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4534616064 = 2143118387
BaseRepresentation
bin1000011100100100…
…01100000000000000
3102201000200100211010
410032102030000000
533241330203224
62025544320520
7220241412666
oct41622140000
912630610733
104534616064
111a17744190
12a66773140
13573606894
1431035ac36
151b8179e29
hex10e48c000

4534616064 has 120 divisors (see below), whose sum is σ = 13192780608. Its totient is φ = 1373962240.

The previous prime is 4534616027. The next prime is 4534616077. The reversal of 4534616064 is 4606164354.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536479 + ... + 544865.

Almost surely, 24534616064 is an apocalyptic number.

4534616064 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 4534616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596390304).

4534616064 is an abundant number, since it is smaller than the sum of its proper divisors (8658164544).

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

4534616064 is an equidigital number, since it uses as much as digits as its factorization.

4534616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 4534616064 is about 67339.5579433070. The cubic root of 4534616064 is about 1655.1861388594.

The spelling of 4534616064 in words is "four billion, five hundred thirty-four million, six hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8192 8387 8448 11264 12288 16384 16774 16896 22528 24576 25161 33548 33792 45056 49152 50322 67096 67584 90112 92257 100644 134192 135168 180224 184514 201288 268384 270336 276771 369028 402576 536768 540672 553542 738056 805152 1073536 1107084 1476112 1610304 2147072 2214168 2952224 3220608 4294144 4428336 5904448 6441216 8588288 8856672 11808896 12882432 17176576 17713344 23617792 25764864 34353152 35426688 47235584 51529728 68706304 70853376 94471168 103059456 137412608 141706752 188942336 206118912 283413504 377884672 412237824 566827008 755769344 1133654016 1511538688 2267308032 4534616064