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7220716672 = 27138948757
BaseRepresentation
bin1101011100110001…
…10110010010000000
3200122020001102010211
412232120312102000
5104242000413142
63152301003504
7343636036051
oct65630662200
920566042124
107220716672
1130759a7344
121496253594
138b0c64920
144c6db2728
152c3db6917
hex1ae636480

7220716672 has 64 divisors (see below), whose sum is σ = 15665945400. Its totient is φ = 3295125504.

The previous prime is 7220716667. The next prime is 7220716673. The reversal of 7220716672 is 2766170227.

It can be written as a sum of positive squares in 4 ways, for example, as 2578202176 + 4642514496 = 50776^2 + 68136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (7220716673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123718 + ... + 172474.

Almost surely, 27220716672 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 7220716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832972700).

7220716672 is an abundant number, since it is smaller than the sum of its proper divisors (8445228728).

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

7220716672 is a wasteful number, since it uses less digits than its factorization.

7220716672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48873 (or 48861 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 7220716672 is about 84974.8002174762. The cubic root of 7220716672 is about 1932.8290075212.

Adding to 7220716672 its reverse (2766170227), we get a palindrome (9986886899).

The spelling of 7220716672 in words is "seven billion, two hundred twenty million, seven hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 356 416 712 832 1157 1424 1664 2314 2848 4628 5696 9256 11392 18512 37024 48757 74048 97514 148096 195028 390056 633841 780112 1267682 1560224 2535364 3120448 4339373 5070728 6240896 8678746 10141456 17357492 20282912 34714984 40565824 56411849 69429968 81131648 112823698 138859936 225647396 277719872 451294792 555439744 902589584 1805179168 3610358336 7220716672