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2129129088 = 2735544607
BaseRepresentation
bin111111011100111…
…1110111010000000
312111101022222000220
41332321332322000
513330024112323
6551134343040
7103522204302
oct17671767200
95441288026
102129129088
119a2924219
124b505aa80
1327c1495c8
14162aad972
15c6dbd0e3
hex7ee7ee80

2129129088 has 32 divisors (see below), whose sum is σ = 5655500160. Its totient is φ = 709709568.

The previous prime is 2129129087. The next prime is 2129129179. The reversal of 2129129088 is 8809219212.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2129129081) 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 3 ways as a sum of consecutive naturals, for example, 2771920 + ... + 2772687.

It is an arithmetic number, because the mean of its divisors is an integer number (176734380).

Almost surely, 22129129088 is an apocalyptic number.

It is an amenable number.

2129129088 is an abundant number, since it is smaller than the sum of its proper divisors (3526371072).

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

2129129088 is an equidigital number, since it uses as much as digits as its factorization.

2129129088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544624 (or 5544612 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 2129129088 is about 46142.4867990445. The cubic root of 2129129088 is about 1286.4729662085.

The spelling of 2129129088 in words is "two billion, one hundred twenty-nine million, one hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5544607 11089214 16633821 22178428 33267642 44356856 66535284 88713712 133070568 177427424 266141136 354854848 532282272 709709696 1064564544 2129129088