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64802320969 = 27729192
BaseRepresentation
bin111100010110100001…
…001111001001001001
320012021011222222122211
4330112201033021021
52030203343232334
645434134345121
74452601432321
oct742641171111
9205234888584
1064802320969
1125534247971
12106861bb1a1
136159665029
1431ca5b8281
151a4415ca64
hexf1684f249

64802320969 has 9 divisors (see below), whose sum is σ = 65107955367. Its totient is φ = 64498118184.

The previous prime is 64802320967. The next prime is 64802320993. The reversal of 64802320969 is 96902320846.

It is a happy number.

The square root of 64802320969 is 254563.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11169319225 + 53633001744 = 105685^2 + 231588^2 .

It is not a de Polignac number, because 64802320969 - 21 = 64802320967 is a prime.

It is a super-2 number, since 2×648023209692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64802320963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70513492 + ... + 70514410.

It is an arithmetic number, because the mean of its divisors is an integer number (7234217263).

Almost surely, 264802320969 is an apocalyptic number.

64802320969 is the 254563-rd square number.

64802320969 is the 127282-nd centered octagonal number.

It is an amenable number.

64802320969 is a deficient number, since it is larger than the sum of its proper divisors (305634398).

64802320969 is an frugal number, since it uses more digits than its factorization.

64802320969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 64802320969 by its sum of digits (49), we get a square (3175313727481 = 17819412).

The spelling of 64802320969 in words is "sixty-four billion, eight hundred two million, three hundred twenty thousand, nine hundred sixty-nine".

Divisors: 1 277 919 76729 254563 844561 70513951 233943397 64802320969