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997744100653 = 7063091412617
BaseRepresentation
bin11101000010011100010…
…11101100010100101101
310112101100111112212100101
432201032023230110231
5112321334442210103
62042205102431101
7132041012632006
oct16411613542455
93471314485311
10997744100653
11355160596373
12141452592491
1373118ac4861
14364109b81ad
151ae486a6a1d
hexe84e2ec52d

997744100653 has 4 divisors (see below), whose sum is σ = 997746219580. Its totient is φ = 997741981728.

The previous prime is 997744100641. The next prime is 997744100677. The reversal of 997744100653 is 356001447799.

997744100653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

997744100653 is a nontrivial binomial coefficient, being equal to C(1412618, 2).

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 794376473284 + 203367627369 = 891278^2 + 450963^2 .

It is a 3-Lehmer number, since φ(997744100653) divides (997744100653-1)3.

It is a cyclic number.

It is not a de Polignac number, because 997744100653 - 25 = 997744100621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 997744100594 and 997744100603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997744100153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 1412617.

It is an arithmetic number, because the mean of its divisors is an integer number (249436554895).

It is a Poulet number, since it divides 2997744100652-1.

Almost surely, 2997744100653 is an apocalyptic number.

997744100653 is the 1412617-th triangular number and also the 706309-th hexagonal number.

997744100653 is the 470873-rd centered nonagonal number.

It is an amenable number.

997744100653 is a deficient number, since it is larger than the sum of its proper divisors (2118927).

997744100653 is a wasteful number, since it uses less digits than its factorization.

997744100653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118926.

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 997744100653 in words is "nine hundred ninety-seven billion, seven hundred forty-four million, one hundred thousand, six hundred fifty-three".

Divisors: 1 706309 1412617 997744100653