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45351580437 = 3220089250837
BaseRepresentation
bin101010001111001010…
…100011001100010101
311100001121222222202100
4222033022203030111
51220340001033222
632500105432313
73163566034062
oct521712431425
9140047888670
1045351580437
111826286a699
12895819b699
1343799cb7c7
1422a322bc69
1512a673a4ac
hexa8f2a3315

45351580437 has 12 divisors (see below), whose sum is σ = 65511360460. Its totient is φ = 30232761408.

The previous prime is 45351580433. The next prime is 45351580507. The reversal of 45351580437 is 73408515354.

It is a happy number.

45351580437 is a `hidden beast` number, since 4 + 5 + 35 + 1 + 580 + 4 + 37 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20035270116 + 25316310321 = 141546^2 + 159111^2 .

It is not a de Polignac number, because 45351580437 - 22 = 45351580433 is a prime.

It is a super-2 number, since 2×453515804372 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45351580392 and 45351580401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45351580433) 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 11 ways as a sum of consecutive naturals, for example, 55383 + ... + 306219.

Almost surely, 245351580437 is an apocalyptic number.

It is an amenable number.

45351580437 is a deficient number, since it is larger than the sum of its proper divisors (20159780023).

45351580437 is a wasteful number, since it uses less digits than its factorization.

45351580437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270932 (or 270929 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 45351580437 in words is "forty-five billion, three hundred fifty-one million, five hundred eighty thousand, four hundred thirty-seven".

Divisors: 1 3 9 20089 60267 180801 250837 752511 2257533 5039064493 15117193479 45351580437