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429252970276 = 2213211322232
BaseRepresentation
bin1100011111100010111…
…10001000011100100100
31112000222101012020020101
412033301132020130210
524013102230022101
6525110204513444
743004201021434
oct6176136103444
91460871166211
10429252970276
11156055124999
126b237b4b884
133162b008900
1416ac13102c4
15b274b60401
hex63f1788724

429252970276 has 81 divisors (see below), whose sum is σ = 824380503219. Its totient is φ = 195482956032.

The previous prime is 429252970271. The next prime is 429252970277. The reversal of 429252970276 is 672079252924.

The square root of 429252970276 is 655174.

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 320326568676 + 108926401600 = 565974^2 + 330040^2 .

It is a super-2 number, since 2×4292529702762 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (429252970271) 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 26 ways as a sum of consecutive naturals, for example, 1924901101 + ... + 1924901323.

Almost surely, 2429252970276 is an apocalyptic number.

429252970276 is the 655174-th square number.

It is an amenable number.

429252970276 is a deficient number, since it is larger than the sum of its proper divisors (395127532943).

429252970276 is a wasteful number, since it uses less digits than its factorization.

429252970276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 429252970276 in words is "four hundred twenty-nine billion, two hundred fifty-two million, nine hundred seventy thousand, two hundred seventy-six".

Divisors: 1 2 4 13 26 52 113 169 223 226 338 446 452 676 892 1469 2899 2938 5798 5876 11596 12769 19097 25199 25538 37687 38194 49729 50398 51076 75374 76388 99458 100796 150748 165997 198916 327587 331994 646477 655174 663988 1292954 1310348 2157961 2585908 2847487 4258631 4315922 5619377 5694974 8404201 8517262 8631844 11238754 11389948 16808402 17034524 22477508 33616804 37017331 73051901 74034662 146103802 148069324 292207604 481225303 634989601 949674713 962450606 1269979202 1899349426 1924901212 2539958404 3798698852 8254864813 16509729626 33019459252 107313242569 214626485138 429252970276