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64443699456 = 283727115421
BaseRepresentation
bin111100000001001001…
…001101000100000000
320011100012012010102120
4330001021031010000
52023440041340311
645334404044240
74440655256463
oct740111150400
9204305163376
1064443699456
112536a874254
12105a6093680
136100280856
143194b052da
151a2291e706
hexf0124d100

64443699456 has 72 divisors (see below), whose sum is σ = 171751629504. Its totient is φ = 21451499520.

The previous prime is 64443699451. The next prime is 64443699461. The reversal of 64443699456 is 65499634446.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64443699451) and next prime (64443699461).

It is a self number, because there is not a number n which added to its sum of digits gives 64443699456.

It is not an unprimeable number, because it can be changed into a prime (64443699451) 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 7 ways as a sum of consecutive naturals, for example, 500626 + ... + 616046.

Almost surely, 264443699456 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 64443699456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85875814752).

64443699456 is an abundant number, since it is smaller than the sum of its proper divisors (107307930048).

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

64443699456 is a wasteful number, since it uses less digits than its factorization.

64443699456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116167 (or 116153 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 60.

The spelling of 64443699456 in words is "sixty-four billion, four hundred forty-three million, six hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 727 768 1454 2181 2908 4362 5816 8724 11632 17448 23264 34896 46528 69792 93056 115421 139584 186112 230842 279168 346263 461684 558336 692526 923368 1385052 1846736 2770104 3693472 5540208 7386944 11080416 14773888 22160832 29547776 44321664 83911067 88643328 167822134 251733201 335644268 503466402 671288536 1006932804 1342577072 2013865608 2685154144 4027731216 5370308288 8055462432 10740616576 16110924864 21481233152 32221849728 64443699456