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2054013168 = 243172263563
BaseRepresentation
bin111101001101101…
…1100000011110000
312022010222200100210
41322123130003300
513201311410133
6535452344120
7101620552404
oct17233340360
95263880323
102054013168
11964489549
12493a75040
1326970930c
14156b19104
15c04d1763
hex7a6dc0f0

2054013168 has 120 divisors (see below), whose sum is σ = 5668172928. Its totient is φ = 640805888.

The previous prime is 2054013149. The next prime is 2054013179. The reversal of 2054013168 is 8613104502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3648055 + ... + 3648617.

Almost surely, 22054013168 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 2054013168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834086464).

2054013168 is an abundant number, since it is smaller than the sum of its proper divisors (3614159760).

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

2054013168 is a wasteful number, since it uses less digits than its factorization.

2054013168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2054013168 is about 45321.2220488371. Note that the first 3 decimals coincide. The cubic root of 2054013168 is about 1271.1625059455.

The spelling of 2054013168 in words is "two billion, fifty-four million, thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 263 272 289 408 526 563 578 789 816 867 1052 1126 1156 1578 1689 1734 2104 2252 2312 3156 3378 3468 4208 4471 4504 4624 6312 6756 6936 8942 9008 9571 12624 13413 13512 13872 17884 19142 26826 27024 28713 35768 38284 53652 57426 71536 76007 76568 107304 114852 148069 152014 153136 162707 214608 228021 229704 296138 304028 325414 444207 456042 459408 488121 592276 608056 650828 888414 912084 976242 1184552 1216112 1301656 1776828 1824168 1952484 2369104 2517173 2603312 3553656 3648336 3904968 5034346 7107312 7551519 7809936 10068692 15103038 20137384 30206076 40274768 42791941 60412152 85583882 120824304 128375823 171167764 256751646 342335528 513503292 684671056 1027006584 2054013168