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63434063543552 = 281362417305377
BaseRepresentation
bin11100110110001011001001…
…10100101111110100000000
322022121020101221210110121022
432123011210310233310000
531303300430231343202
6342525112334045012
716234650141432242
oct1633054464576400
9268536357713538
1063434063543552
1119237265169669
127145b43649768
132951a63c21050
1411943217b2092
157500eb441ea2
hex39b164d2fd00

63434063543552 has 72 divisors (see below), whose sum is σ = 136362994964616. Its totient is φ = 29276695166976.

The previous prime is 63434063543551. The next prime is 63434063543561. The reversal of 63434063543552 is 25534536043436.

It can be written as a sum of positive squares in 4 ways, for example, as 9521816033536 + 53912247510016 = 3085744^2 + 7342496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63434063543494 and 63434063543503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63434063543551) 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, 207571088 + ... + 207876464.

Almost surely, 263434063543552 is an apocalyptic number.

It is an amenable number.

63434063543552 is an abundant number, since it is smaller than the sum of its proper divisors (72928931421064).

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

63434063543552 is a wasteful number, since it uses less digits than its factorization.

63434063543552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367823 (or 367809 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 53.

Adding to 63434063543552 its reverse (25534536043436), we get a palindrome (88968599586988).

The spelling of 63434063543552 in words is "sixty-three trillion, four hundred thirty-four billion, sixty-three million, five hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 62417 124834 249668 305377 499336 610754 811421 998672 1221508 1622842 1997344 2443016 3245684 3969901 3994688 4886032 6491368 7939802 7989376 9772064 12982736 15879604 15978752 19544128 25965472 31759208 39088256 51930944 63518416 78176512 103861888 127036832 207723776 254073664 508147328 1016294656 19060716209 38121432418 76242864836 152485729672 247789310717 304971459344 495578621434 609942918688 991157242868 1219885837376 1982314485736 2439771674752 3964628971472 4879543349504 7929257942944 15858515885888 31717031771776 63434063543552