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4655868672 = 283721331307
BaseRepresentation
bin1000101011000001…
…01110101100000000
3110000110211122010110
410111200232230000
534013400244142
62045555231320
7223243142100
oct42540565400
913013748113
104655868672
111a7a131054
12a9b2a8540
1359277b9a0
143224c1200
151c3b2b99c
hex11582eb00

4655868672 has 432 divisors, whose sum is σ = 16076239872. Its totient is φ = 1184440320.

The previous prime is 4655868599. The next prime is 4655868673. The reversal of 4655868672 is 2768685564.

It is a super-2 number, since 2×46558686722 = 43354226181822087168, which contains 22 as substring.

Its product of digits (19353600) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (4655868673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15165543 + ... + 15165849.

Almost surely, 24655868672 is an apocalyptic number.

4655868672 is a gapful number since it is divisible by the number (42) 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 4655868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038119936).

4655868672 is an abundant number, since it is smaller than the sum of its proper divisors (11420371200).

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

4655868672 is a wasteful number, since it uses less digits than its factorization.

4655868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The square root of 4655868672 is about 68233.9261071793. The cubic root of 4655868672 is about 1669.8094218800.

The spelling of 4655868672 in words is "four billion, six hundred fifty-five million, eight hundred sixty-eight thousand, six hundred seventy-two".