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45108237769 = 72303412
BaseRepresentation
bin101010000000101010…
…010001010111001001
311022102200002220100221
4222000222101113021
51214340202102034
632420014030041
73154552460200
oct520052212711
9138380086327
1045108237769
1118148473751
1288aa7a8321
13433b47a36a
14227cba6237
1512901bdbb4
hexa80a915c9

45108237769 has 9 divisors (see below), whose sum is σ = 52474577511. Its totient is φ = 38662929480.

The previous prime is 45108237749. The next prime is 45108237787. The reversal of 45108237769 is 96773280154.

The square root of 45108237769 is 212387.

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., 7402365369 + 37705872400 = 86037^2 + 194180^2 .

It is not a de Polignac number, because 45108237769 - 27 = 45108237641 is a prime.

It is a super-2 number, since 2×451082377692 (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 (45108237719) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1471539 + ... + 1501879.

It is a 2-persistent number, because it is pandigital, and so is 2⋅45108237769 = 90216475538, but 3⋅45108237769 = 135324713307 is not.

Almost surely, 245108237769 is an apocalyptic number.

45108237769 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45108237769 is the 212387-th square number.

45108237769 is the 106194-th centered octagonal number.

It is an amenable number.

45108237769 is a deficient number, since it is larger than the sum of its proper divisors (7366339742).

45108237769 is an frugal number, since it uses more digits than its factorization.

45108237769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60696 (or 30348 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 45108237769 in words is "forty-five billion, one hundred eight million, two hundred thirty-seven thousand, seven hundred sixty-nine".

Divisors: 1 7 49 30341 212387 1486709 920576281 6444033967 45108237769