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4643160064 = 21670849
BaseRepresentation
bin1000101001100000…
…10000000000000000
3102222120220222012021
410110300100000000
534002122110224
62044423011224
7223030131544
oct42460200000
912876828167
104643160064
111a72a40974
12a96b99b14
1358cc4c2ba
14320933a24
151c296b1e4
hex114c10000

4643160064 has 34 divisors (see below), whose sum is σ = 9286380350. Its totient is φ = 2321547264.

The previous prime is 4643160061. The next prime is 4643160079. The reversal of 4643160064 is 4600613464.

It can be written as a sum of positive squares in only one way, i.e., 4430233600 + 212926464 = 66560^2 + 14592^2 .

It is a super-3 number, since 3×46431600643 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4643160061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30112 + ... + 100960.

Almost surely, 24643160064 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 4643160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643190175).

4643160064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

4643160064 is an frugal number, since it uses more digits than its factorization.

4643160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70881 (or 70851 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 4643160064 is about 68140.7371841544. The cubic root of 4643160064 is about 1668.2887396066.

The spelling of 4643160064 in words is "four billion, six hundred forty-three million, one hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 70849 141698 283396 566792 1133584 2267168 4534336 9068672 18137344 36274688 72549376 145098752 290197504 580395008 1160790016 2321580032 4643160064