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2011451344 = 247731571567
BaseRepresentation
bin111011111100100…
…0100111111010000
312012011220022111221
41313321010333100
513104412420334
6531332214424
7100563024430
oct16771047720
95164808457
102011451344
11942459191
1248176a414
132609566c6
141511da2c0
15bb8c58b4
hex77e44fd0

2011451344 has 80 divisors (see below), whose sum is σ = 4546597888. Its totient is φ = 844286976.

The previous prime is 2011451327. The next prime is 2011451383. The reversal of 2011451344 is 4431541102.

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, 1282849 + ... + 1284415.

Almost surely, 22011451344 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 2011451344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273298944).

2011451344 is an abundant number, since it is smaller than the sum of its proper divisors (2535146544).

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

2011451344 is a wasteful number, since it uses less digits than its factorization.

2011451344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2011451344 is about 44849.2067265409. The cubic root of 2011451344 is about 1262.3211066199.

Adding to 2011451344 its reverse (4431541102), we get a palindrome (6442992446).

The spelling of 2011451344 in words is "two billion, eleven million, four hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 157 292 314 511 584 628 1022 1099 1168 1256 1567 2044 2198 2512 3134 4088 4396 6268 8176 8792 10969 11461 12536 17584 21938 22922 25072 43876 45844 80227 87752 91688 114391 160454 175504 183376 228782 246019 320908 457564 492038 641816 800737 915128 984076 1283632 1601474 1722133 1830256 1968152 3202948 3444266 3936304 6405896 6888532 12811792 13777064 17959387 27554128 35918774 71837548 125715709 143675096 251431418 287350192 502862836 1005725672 2011451344