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4971989568 = 263713383743
BaseRepresentation
bin1001010000101101…
…01000101001000000
3110211111200020110210
410220112220221000
540140312131233
62141210554120
7234132133260
oct45026505100
913744606423
104971989568
112121616397
12b69138940
13613102380
1435248d7a0
151e1772163
hex1285a8a40

4971989568 has 224 divisors, whose sum is σ = 16254959616. Its totient is φ = 1306109952.

The previous prime is 4971989567. The next prime is 4971989621. The reversal of 4971989568 is 8659891794.

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

It is a super-4 number, since 4×49719895684 (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4971989499 and 4971989508.

It is not an unprimeable number, because it can be changed into a prime (4971989567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6691405 + ... + 6692147.

It is an arithmetic number, because the mean of its divisors is an integer number (72566784).

Almost surely, 24971989568 is an apocalyptic number.

4971989568 is a gapful number since it is divisible by the number (48) 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 4971989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127479808).

4971989568 is an abundant number, since it is smaller than the sum of its proper divisors (11282970048).

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

4971989568 is a wasteful number, since it uses less digits than its factorization.

4971989568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1151 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 66.

The square root of 4971989568 is about 70512.3362823839. The cubic root of 4971989568 is about 1706.7768209608.

The spelling of 4971989568 in words is "four billion, nine hundred seventy-one million, nine hundred eighty-nine thousand, five hundred sixty-eight".