Search a number
-
+
2054840064 = 2838233251
BaseRepresentation
bin111101001111010…
…0101111100000000
312022012112200122120
41322132211330000
513202014340224
6535522204240
7101630565234
oct17236457400
95265480576
102054840064
119649a3832
124941b3680
132699387c4
14156c925c4
15c05e6779
hex7a7a5f00

2054840064 has 72 divisors (see below), whose sum is σ = 5477200512. Its totient is φ = 683904000.

The previous prime is 2054839993. The next prime is 2054840071. The reversal of 2054840064 is 4600484502.

2054840064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 630439 + ... + 633689.

Almost surely, 22054840064 is an apocalyptic number.

2054840064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738600256).

2054840064 is an abundant number, since it is smaller than the sum of its proper divisors (3422360448).

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

2054840064 is an equidigital number, since it uses as much as digits as its factorization.

2054840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2054840064 is about 45330.3437445603. The cubic root of 2054840064 is about 1271.3330628156. Note that the first 3 decimals are identical.

The spelling of 2054840064 in words is "two billion, fifty-four million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 823 1646 2469 3251 3292 4938 6502 6584 9753 9876 13004 13168 19506 19752 26008 26336 39012 39504 52016 52672 78024 79008 104032 105344 156048 158016 208064 210688 312096 316032 416128 624192 632064 832256 1248384 2496768 2675573 5351146 8026719 10702292 16053438 21404584 32106876 42809168 64213752 85618336 128427504 171236672 256855008 342473344 513710016 684946688 1027420032 2054840064