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20344006034532 = 2232565111278737
BaseRepresentation
bin1001010000000101101010…
…10000001100010001100100
32200000212102202111201011200
410220002311100030101210
510131304011021101112
6111133523553202500
74166543302044105
oct450026520142144
980025382451150
1020344006034532
116533932048414
12234697a560430
13b4757c11a21b
14504925a123ac
152542daa94cdc
hex1280b540c464

20344006034532 has 18 divisors (see below), whose sum is σ = 51425126365158. Its totient is φ = 6781335344832.

The previous prime is 20344006034507. The next prime is 20344006034551. The reversal of 20344006034532 is 23543060044302.

20344006034532 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 4 + 0 + 0 + 603 + 45 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15245776213056 + 5098229821476 = 3904584^2 + 2257926^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 565111278737 = 20344006034532 / (2 + 0 + 3 + 4 + 4 + 0 + 0 + 6 + 0 + 3 + 4 + 5 + 3 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282555639333 + ... + 282555639404.

It is an arithmetic number, because the mean of its divisors is an integer number (2856951464731).

Almost surely, 220344006034532 is an apocalyptic number.

It is an amenable number.

20344006034532 is an abundant number, since it is smaller than the sum of its proper divisors (31081120330626).

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

20344006034532 is a wasteful number, since it uses less digits than its factorization.

20344006034532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565111278747 (or 565111278742 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 20344006034532 its reverse (23543060044302), we get a palindrome (43887066078834).

The spelling of 20344006034532 in words is "twenty trillion, three hundred forty-four billion, six million, thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 565111278737 1130222557474 1695333836211 2260445114948 3390667672422 5086001508633 6781335344844 10172003017266 20344006034532