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4711390656 = 263723173881
BaseRepresentation
bin1000110001101001…
…00001110111000000
3110011100022102222020
410120310201313000
534122104000111
62055301241440
7224516105550
oct43064416700
913140272866
104711390656
111aa8503595
12ab5a03280
135a111b62b
14329a15160
151c8947906
hex118d21dc0

4711390656 has 224 divisors, whose sum is σ = 14968654848. Its totient is φ = 1278689280.

The previous prime is 4711390643. The next prime is 4711390657. The reversal of 4711390656 is 6560931174.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×47113906562 = 44394403826888220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4711390657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5347336 + ... + 5348216.

It is an arithmetic number, because the mean of its divisors is an integer number (66824352).

Almost surely, 24711390656 is an apocalyptic number.

4711390656 is a gapful number since it is divisible by the number (46) 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 4711390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7484327424).

4711390656 is an abundant number, since it is smaller than the sum of its proper divisors (10257264192).

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

4711390656 is a wasteful number, since it uses less digits than its factorization.

4711390656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 4711390656 is about 68639.5706280277. The cubic root of 4711390656 is about 1676.4207926821.

The spelling of 4711390656 in words is "four billion, seven hundred eleven million, three hundred ninety thousand, six hundred fifty-six".