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4328220672 = 211321719727
BaseRepresentation
bin1000000011111101…
…10110100000000000
3102011122022101120100
410001332312200000
532331011030142
61553252442400
7212154161106
oct40176664000
912148271510
104328220672
111921193286
12a09619400
1353c920629
142d0b91c76
151a4eaab4c
hex101fb6800

4328220672 has 288 divisors, whose sum is σ = 13951828800. Its totient is φ = 1284636672.

The previous prime is 4328220667. The next prime is 4328220697. The reversal of 4328220672 is 2760228234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5953173 + ... + 5953899.

It is an arithmetic number, because the mean of its divisors is an integer number (48443850).

Almost surely, 24328220672 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 4328220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975914400).

4328220672 is an abundant number, since it is smaller than the sum of its proper divisors (9623608128).

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

4328220672 is a wasteful number, since it uses less digits than its factorization.

4328220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4328220672 is about 65789.2139487925. The cubic root of 4328220672 is about 1629.6829865130.

The spelling of 4328220672 in words is "four billion, three hundred twenty-eight million, two hundred twenty thousand, six hundred seventy-two".