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637143263366401 = 11290722132623391
BaseRepresentation
bin1001000011011110100111100…
…1111000100100110100000001
310002112221022010111211222110001
42100313221321320210310001
51132002423400410211101
610135031324024240001
7251130040011513631
oct22067517170446401
93075838114758401
10637143263366401
11175016a38974a00
125b562771910001
13214694762602cc
14b349c816406c1
154d9d859b30901
hex2437a79e24d01

637143263366401 has 24 divisors (see below), whose sum is σ = 701420243634432. Its totient is φ = 578320868848800.

The previous prime is 637143263366387. The next prime is 637143263366447. The reversal of 637143263366401 is 104663362341736.

It is not a de Polignac number, because 637143263366401 - 235 = 637108903628033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (637143263366501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241558416 + ... + 244181806.

It is an arithmetic number, because the mean of its divisors is an integer number (29225843484768).

Almost surely, 2637143263366401 is an apocalyptic number.

It is an amenable number.

637143263366401 is a deficient number, since it is larger than the sum of its proper divisors (64276980268031).

637143263366401 is a wasteful number, since it uses less digits than its factorization.

637143263366401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626533 (or 2626522 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 55.

The spelling of 637143263366401 in words is "six hundred thirty-seven trillion, one hundred forty-three billion, two hundred sixty-three million, three hundred sixty-six thousand, four hundred one".

Divisors: 1 11 121 907 2213 9977 24343 109747 267773 2007191 2623391 22079101 28857301 242870111 317430311 2379415637 5805564283 26173572007 63861207113 287909292077 702473278243 5265646804681 57922114851491 637143263366401