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45404354413332 = 22321737290358769
BaseRepresentation
bin10100101001011100001100…
…11010101000001100010100
312221202121120112012121212100
422110232012122220030110
521422401104212211312
6240322250015122100
712364233141441405
oct1224560632501424
9187677515177770
1045404354413332
1113515973417132
125113802513330
131c447c615b6a5
14b2d8224739ac
1553b1112685dc
hex294b866a8314

45404354413332 has 36 divisors (see below), whose sum is σ = 115435540764180. Its totient is φ = 15047300497152.

The previous prime is 45404354413303. The next prime is 45404354413409. The reversal of 45404354413332 is 23331445340454.

45404354413332 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 43 + 544 + 1 + 33 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21641420337156 + 23762934076176 = 4652034^2 + 4874724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×454043544133322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3645173157 + ... + 3645185612.

It is an arithmetic number, because the mean of its divisors is an integer number (3206542799005).

Almost surely, 245404354413332 is an apocalyptic number.

It is an amenable number.

45404354413332 is an abundant number, since it is smaller than the sum of its proper divisors (70031186350848).

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

45404354413332 is a wasteful number, since it uses less digits than its factorization.

45404354413332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290358952 (or 7290358947 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 45404354413332 its reverse (23331445340454), we get a palindrome (68735799753786).

The spelling of 45404354413332 in words is "forty-five trillion, four hundred four billion, three hundred fifty-four million, four hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 7290358769 14580717538 21871076307 29161435076 43742152614 65613228921 87484305228 131226457842 262452915684 1261232067037 2522464134074 3783696201111 5044928268148 7567392402222 11351088603333 15134784804444 22702177206666 45404354413332