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332690164849 = 721723721312
BaseRepresentation
bin1001101011101011110…
…00010000110001110001
31011210201202020110112101
410311311320100301301
520422322140233344
6412500304500401
733015241512400
oct4656570206161
91153652213471
10332690164849
11119102a19a69
125458931a701
13254ac645913
141216097d637
1589c25789d4
hex4d75e10c71

332690164849 has 81 divisors (see below), whose sum is σ = 425772561249. Its totient is φ = 259141559040.

The previous prime is 332690164841. The next prime is 332690164861. The reversal of 332690164849 is 948461096233.

The square root of 332690164849 is 576793.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 154758052449 + 177932112400 = 393393^2 + 421820^2 .

It is not a de Polignac number, because 332690164849 - 23 = 332690164841 is a prime.

It is a super-2 number, since 2×3326901648492 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332690164849.

It is not an unprimeable number, because it can be changed into a prime (332690164841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2539619514 + ... + 2539619644.

Almost surely, 2332690164849 is an apocalyptic number.

332690164849 is the 576793-rd square number.

332690164849 is the 288397-th centered octagonal number.

It is an amenable number.

332690164849 is a deficient number, since it is larger than the sum of its proper divisors (93082396400).

332690164849 is an equidigital number, since it uses as much as digits as its factorization.

332690164849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 332690164849 in words is "three hundred thirty-two billion, six hundred ninety million, one hundred sixty-four thousand, eight hundred forty-nine".

Divisors: 1 7 17 37 49 119 131 259 289 629 833 917 1369 1813 2023 2227 4403 4847 6419 9583 10693 14161 15589 17161 23273 30821 33929 37859 67081 74851 82399 109123 120127 162911 179339 237503 265013 291737 395641 523957 576793 634957 840889 1140377 1255373 1400783 1855091 2042159 2769487 3048763 4037551 4444699 4959529 8787611 9805481 10794269 14295113 19386409 21341341 23493409 31112893 34716703 51828971 68638367 75559883 149389387 164453863 183502573 243016921 362802797 399387953 528919181 1151177041 1284518011 2539619579 2795715671 6789595201 8991626077 19570009697 47527166407 332690164849