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45459783369 = 3272112132712
BaseRepresentation
bin101010010101100111…
…010011111011001001
311100100011121021021100
4222111213103323021
51221100201031434
632514532532013
73166351532400
oct522547237311
9140304537240
1045459783369
1118308954100
128988481009
134396254c00
1422b3756637
1512b0eb0699
hexa959d3ec9

45459783369 has 243 divisors, whose sum is σ = 92213972487. Its totient is φ = 21491870400.

The previous prime is 45459783359. The next prime is 45459783379. The reversal of 45459783369 is 96338795454.

The square root of 45459783369 is 213213.

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

45459783369 is a `hidden beast` number, since 4 + 5 + 4 + 597 + 8 + 3 + 36 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (45459783359) and next prime (45459783379).

It can be written as a sum of positive squares in only one way, i.e., 6724820025 + 38734963344 = 82005^2 + 196812^2 .

It is not a de Polignac number, because 45459783369 - 213 = 45459775177 is a prime.

It is a super-2 number, since 2×454597833692 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (97977600) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (45459783349) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 640278604 + ... + 640278674.

Almost surely, 245459783369 is an apocalyptic number.

45459783369 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45459783369 is the 213213-rd square number.

45459783369 is the 106607-th centered octagonal number.

It is an amenable number.

45459783369 is an abundant number, since it is smaller than the sum of its proper divisors (46754189118).

45459783369 is a wasteful number, since it uses less digits than its factorization.

45459783369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

It can be divided in two parts, 45459 and 783369, that added together give a palindrome (828828).

The spelling of 45459783369 in words is "forty-five billion, four hundred fifty-nine million, seven hundred eighty-three thousand, three hundred sixty-nine".