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545105104000 = 275334069069
BaseRepresentation
bin1111110111010101100…
…10111100110010000000
31221010000022102101212221
413323222302330302000
532412333401312000
61054230130100424
754245132635312
oct7735262746200
91833008371787
10545105104000
111a01a5690756
128978a71a714
133c531a6b922
141c5518117b2
15e2a58d361a
hex7eeacbcc80

545105104000 has 64 divisors (see below), whose sum is σ = 1355267604600. Its totient is φ = 218042035200.

The previous prime is 545105103913. The next prime is 545105104001. The reversal of 545105104000 is 401501545.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77894577216 + 467210526784 = 279096^2 + 683528^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×5451051040004 (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (545105104001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17018535 + ... + 17050534.

Almost surely, 2545105104000 is an apocalyptic number.

545105104000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

545105104000 is an abundant number, since it is smaller than the sum of its proper divisors (810162500600).

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

545105104000 is an equidigital number, since it uses as much as digits as its factorization.

545105104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34069098 (or 34069076 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 545105104000 its reverse (401501545), we get a palindrome (545506605545).

The spelling of 545105104000 in words is "five hundred forty-five billion, one hundred five million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 34069069 68138138 136276276 170345345 272552552 340690690 545105104 681381380 851726725 1090210208 1362762760 1703453450 2180420416 2725525520 3406906900 4258633625 4360840832 5451051040 6813813800 8517267250 10902102080 13627627600 17034534500 21804204160 27255255200 34069069000 54510510400 68138138000 109021020800 136276276000 272552552000 545105104000