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4756769472 = 2637213192389
BaseRepresentation
bin1000110111000011…
…01000101011000000
3110021111200221000010
410123201220223000
534220213110342
62104002024520
7225606605400
oct43341505300
913244627003
104756769472
112021088344
12b09048140
135aa6494c0
14331a68800
151cc90d29c
hex11b868ac0

4756769472 has 672 divisors, whose sum is σ = 17512588800. Its totient is φ = 1124057088.

The previous prime is 4756769443. The next prime is 4756769513. The reversal of 4756769472 is 2749676574.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 53446804 + ... + 53446892.

It is an arithmetic number, because the mean of its divisors is an integer number (26060400).

Almost surely, 24756769472 is an apocalyptic number.

4756769472 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 4756769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756294400).

4756769472 is an abundant number, since it is smaller than the sum of its proper divisors (12755819328).

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

4756769472 is a wasteful number, since it uses less digits than its factorization.

4756769472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 57.

The square root of 4756769472 is about 68969.3371868978. The cubic root of 4756769472 is about 1681.7858786749.

The spelling of 4756769472 in words is "four billion, seven hundred fifty-six million, seven hundred sixty-nine thousand, four hundred seventy-two".