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4646740672 = 26780912821
BaseRepresentation
bin1000101001111011…
…11010001011000000
3102222211122212212101
410110331322023000
534004031200142
62045031440144
7223102433620
oct42475721300
912884585771
104646740672
111a74a67052
12a98226054
13590903cc2
143211c6880
151c2e270b7
hex114f7a2c0

4646740672 has 56 divisors (see below), whose sum is σ = 10551993120. Its totient is φ = 1988843520.

The previous prime is 4646740663. The next prime is 4646740717. The reversal of 4646740672 is 2760476464.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×46467406723 (a number of 30 digits) contains 333 as substring.

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, 356022 + ... + 368842.

Almost surely, 24646740672 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 4646740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275996560).

4646740672 is an abundant number, since it is smaller than the sum of its proper divisors (5905252448).

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

4646740672 is a wasteful number, since it uses less digits than its factorization.

4646740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

The square root of 4646740672 is about 68167.0057432480. The cubic root of 4646740672 is about 1668.7174672463.

The spelling of 4646740672 in words is "four billion, six hundred forty-six million, seven hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 809 1618 3236 5663 6472 11326 12821 12944 22652 25642 25888 45304 51284 51776 89747 90608 102568 179494 181216 205136 358988 362432 410272 717976 820544 1435952 2871904 5743808 10372189 20744378 41488756 72605323 82977512 145210646 165955024 290421292 331910048 580842584 663820096 1161685168 2323370336 4646740672