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50340424554001 = 17376114952116901
BaseRepresentation
bin10110111001000110010110…
…00111111001011000010001
320121020111102202000101222201
423130203023013321120101
523044234142141212001
6255022023301003201
713413655435403161
oct1334431307713021
9217214382011881
1050340424554001
111504928831a0aa
12579038a3b3501
13221210a56190a
14c606bd4705a1
155c470b219501
hex2dc8cb1f9611

50340424554001 has 64 divisors (see below), whose sum is σ = 56123875252800. Its totient is φ = 44949565440000.

The previous prime is 50340424553987. The next prime is 50340424554031. The reversal of 50340424554001 is 10045542404305.

50340424554001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 18696154449025 + 31644270104976 = 4323905^2 + 5625324^2 .

It is not a de Polignac number, because 50340424554001 - 211 = 50340424551953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50340424554031) 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 63 ways as a sum of consecutive naturals, for example, 2978538651 + ... + 2978555551.

It is an arithmetic number, because the mean of its divisors is an integer number (876935550825).

Almost surely, 250340424554001 is an apocalyptic number.

It is an amenable number.

50340424554001 is a deficient number, since it is larger than the sum of its proper divisors (5783450698799).

50340424554001 is a wasteful number, since it uses less digits than its factorization.

50340424554001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17686.

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 50340424554001 its reverse (10045542404305), we get a palindrome (60385966958306).

The spelling of 50340424554001 in words is "fifty trillion, three hundred forty billion, four hundred twenty-four million, five hundred fifty-four thousand, one".

Divisors: 1 17 37 61 149 521 629 1037 2257 2533 5513 8857 9089 16901 19277 31781 38369 77629 93721 154513 287317 327709 336293 540277 625337 1030961 1175897 1319693 2518249 2872273 4735369 5716981 8805421 10630729 17526337 19990249 38145557 42810233 48828641 80501273 93175213 149692157 153613189 175208653 325800577 537130681 648474469 1312007729 1583978621 2611424213 2978547101 5538609809 5683687993 9131221577 19873835197 22304131393 48544285973 80032471469 96622695881 337855198349 825252861541 1360552014973 2961201444353 50340424554001