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2129829552 = 24341643387
BaseRepresentation
bin111111011110010…
…1001111010110000
312111102122112220000
41332330221322300
513330214021202
6551201350000
7103531152414
oct17674517260
95442575800
102129829552
119a3262514
124b5338300
1327c333396
14162c12d44
15c6eaa91c
hex7ef29eb0

2129829552 has 50 divisors (see below), whose sum is σ = 6164348388. Its totient is φ = 709942752.

The previous prime is 2129829473. The next prime is 2129829587. The reversal of 2129829552 is 2559289212.

It is a happy number.

2129829552 is a `hidden beast` number, since 2 + 1 + 2 + 98 + 2 + 9 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2129829498 and 2129829507.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 820398 + ... + 822989.

Almost surely, 22129829552 is an apocalyptic number.

It is an amenable number.

2129829552 is an abundant number, since it is smaller than the sum of its proper divisors (4034518836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2129829552 is a wasteful number, since it uses less digits than its factorization.

2129829552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643407 (or 1643392 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2129829552 is about 46150.0764029703. The cubic root of 2129829552 is about 1286.6140300206.

The spelling of 2129829552 in words is "two billion, one hundred twenty-nine million, eight hundred twenty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1643387 3286774 4930161 6573548 9860322 13147096 14790483 19720644 26294192 29580966 39441288 44371449 59161932 78882576 88742898 118323864 133114347 177485796 236647728 266228694 354971592 532457388 709943184 1064914776 2129829552