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2121404096 = 26715730161
BaseRepresentation
bin111111001110010…
…0000111011000000
312110211210111100002
41332130200323000
513321034412341
6550301015132
7103366431410
oct17634407300
95424714302
102121404096
11999528329
124b25544a8
1327a6733c6
14161a5c640
15c639429b
hex7e720ec0

2121404096 has 56 divisors (see below), whose sum is σ = 4841845536. Its totient is φ = 903352320.

The previous prime is 2121404081. The next prime is 2121404111. The reversal of 2121404096 is 6904041212.

It is an interprime number because it is at equal distance from previous prime (2121404081) and next prime (2121404111).

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55256 + ... + 85416.

Almost surely, 22121404096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420922768).

2121404096 is an abundant number, since it is smaller than the sum of its proper divisors (2720441440).

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

2121404096 is a wasteful number, since it uses less digits than its factorization.

2121404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30337 (or 30327 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2121404096 is about 46058.7027172933. The cubic root of 2121404096 is about 1284.9152030121.

The spelling of 2121404096 in words is "two billion, one hundred twenty-one million, four hundred four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 157 224 314 448 628 1099 1256 2198 2512 4396 5024 8792 10048 17584 30161 35168 60322 70336 120644 211127 241288 422254 482576 844508 965152 1689016 1930304 3378032 4735277 6756064 9470554 13512128 18941108 33146939 37882216 66293878 75764432 132587756 151528864 265175512 303057728 530351024 1060702048 2121404096