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429960849796 = 2237288612
BaseRepresentation
bin1100100000110111010…
…10011110100110000100
31112002210201012020101101
412100123222132212010
524021024434143141
6525304333105444
743030554631222
oct6203352364604
91462721166341
10429960849796
11156388766295
126b3b5028284
133171187662a
1416b4b339b12
15b2b6d8c531
hex641ba9e984

429960849796 has 27 divisors (see below), whose sum is σ = 773404376367. Its totient is φ = 209146537440.

The previous prime is 429960849779. The next prime is 429960849797. The reversal of 429960849796 is 697948069924.

The square root of 429960849796 is 655714.

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 353085524100 + 76875325696 = 594210^2 + 277264^2 .

It is a super-3 number, since 3×4299608497963 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429960849797) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48518406 + ... + 48527266.

Almost surely, 2429960849796 is an apocalyptic number.

429960849796 is the 655714-th square number.

It is an amenable number.

429960849796 is a deficient number, since it is larger than the sum of its proper divisors (343443526571).

429960849796 is an frugal number, since it uses more digits than its factorization.

429960849796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17800 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 73.

The spelling of 429960849796 in words is "four hundred twenty-nine billion, nine hundred sixty million, eight hundred forty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 37 74 148 1369 2738 5476 8861 17722 35444 327857 655714 1311428 12130709 24261418 48522836 78517321 157034642 314069284 2905140877 5810281754 11620563508 107490212449 214980424898 429960849796