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34433700077 = 72702728573
BaseRepresentation
bin100000000100011010…
…001001000011101101
310021212202002012111002
4200010122021003231
51031010011400302
623452453410045
72326204423100
oct400432110355
9107782065432
1034433700077
111366aa20577
12680b939925
133329ac727a
141949216737
15d67ebcc02
hex8046890ed

34433700077 has 6 divisors (see below), whose sum is σ = 40055528718. Its totient is φ = 29514600024.

The previous prime is 34433699983. The next prime is 34433700083. The reversal of 34433700077 is 77000733443.

It can be written as a sum of positive squares in only one way, i.e., 22749387241 + 11684312836 = 150829^2 + 108094^2 .

It is not a de Polignac number, because 34433700077 - 224 = 34416922861 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34433700077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34433720077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 351364238 + ... + 351364335.

It is an arithmetic number, because the mean of its divisors is an integer number (6675921453).

Almost surely, 234433700077 is an apocalyptic number.

It is an amenable number.

34433700077 is a deficient number, since it is larger than the sum of its proper divisors (5621828641).

34433700077 is an equidigital number, since it uses as much as digits as its factorization.

34433700077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702728587 (or 702728580 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 38.

The spelling of 34433700077 in words is "thirty-four billion, four hundred thirty-three million, seven hundred thousand, seventy-seven".

Divisors: 1 7 49 702728573 4919100011 34433700077