Search a number
-
+
45543602052 = 22341310812821
BaseRepresentation
bin101010011010100111…
…000011011110000100
311100120000022200220000
4222122213003132010
51221233130231202
632531125241300
73201420141624
oct523247033604
9140500280800
1045543602052
11183511a3343
1289b0563230
1343aa721470
1422c0934884
1512b851a91c
hexa9a9c3784

45543602052 has 60 divisors (see below), whose sum is σ = 128218443276. Its totient is φ = 14013414720.

The previous prime is 45543602029. The next prime is 45543602059. The reversal of 45543602052 is 25020634554.

45543602052 is a `hidden beast` number, since 4 + 5 + 5 + 43 + 602 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22062943296 + 23480658756 = 148536^2 + 153234^2 .

It is a super-2 number, since 2×455436020522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45543601998 and 45543602016.

It is not an unprimeable number, because it can be changed into a prime (45543602059) 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 19 ways as a sum of consecutive naturals, for example, 5402199 + ... + 5410622.

Almost surely, 245543602052 is an apocalyptic number.

It is an amenable number.

45543602052 is an abundant number, since it is smaller than the sum of its proper divisors (82674841224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45543602052 is a wasteful number, since it uses less digits than its factorization.

45543602052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812850 (or 10812839 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 45543602052 in words is "forty-five billion, five hundred forty-three million, six hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 10812821 21625642 32438463 43251284 64876926 97315389 129753852 140566673 194630778 281133346 291946167 389261556 421700019 562266692 583892334 843400038 875838501 1167784668 1265100057 1686800076 1751677002 2530200114 3503354004 3795300171 5060400228 7590600342 11385900513 15181200684 22771801026 45543602052