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2054434512 = 2431317319031
BaseRepresentation
bin111101001110100…
…0010111011010000
312022011210002100010
41322131002323100
513201413401022
6535505354520
7101624255664
oct17235027320
95264702303
102054434512
11964747069
12494038a40
13269826030
14156bc88a4
15c056650c
hex7a742ed0

2054434512 has 80 divisors (see below), whose sum is σ = 5748882048. Its totient is φ = 628446720.

The previous prime is 2054434493. The next prime is 2054434523. The reversal of 2054434512 is 2154344502.

2054434512 is nontrivially palindromic in base 15.

2054434512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2054434512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98437 + ... + 117467.

Almost surely, 22054434512 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 2054434512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874441024).

2054434512 is an abundant number, since it is smaller than the sum of its proper divisors (3694447536).

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

2054434512 is a wasteful number, since it uses less digits than its factorization.

2054434512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19228 (or 19222 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2054434512 is about 45325.8702288219. The cubic root of 2054434512 is about 1271.2494187405.

The spelling of 2054434512 in words is "two billion, fifty-four million, four hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 173 208 312 346 519 624 692 1038 1384 2076 2249 2768 4152 4498 6747 8304 8996 13494 17992 19031 26988 35984 38062 53976 57093 76124 107952 114186 152248 228372 247403 304496 456744 494806 742209 913488 989612 1484418 1979224 2968836 3292363 3958448 5937672 6584726 9877089 11875344 13169452 19754178 26338904 39508356 42800719 52677808 79016712 85601438 128402157 158033424 171202876 256804314 342405752 513608628 684811504 1027217256 2054434512