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2813714432 = 213379283
BaseRepresentation
bin1010011110110101…
…1110000000000000
321021002111111120122
42213231132000000
521230302330212
61143111355412
7126504115034
oct24755360000
97232444518
102813714432
1112142a5331
12666382b68
1335ac1c6a9
141c99941c4
15117048272
hexa7b5e000

2813714432 has 56 divisors (see below), whose sum is σ = 5779791336. Its totient is φ = 1368686592.

The previous prime is 2813714429. The next prime is 2813714443. The reversal of 2813714432 is 2344173182.

It is a junction number, because it is equal to n+sod(n) for n = 2813714392 and 2813714401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298463 + ... + 307745.

Almost surely, 22813714432 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 2813714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889895668).

2813714432 is an abundant number, since it is smaller than the sum of its proper divisors (2966076904).

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

2813714432 is an frugal number, since it uses more digits than its factorization.

2813714432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9346 (or 9322 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 2813714432 is about 53044.4571279601. The cubic root of 2813714432 is about 1411.7571828444.

The spelling of 2813714432 in words is "two billion, eight hundred thirteen million, seven hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4096 4736 8192 9283 9472 18566 18944 37132 37888 74264 75776 148528 151552 297056 303104 343471 594112 686942 1188224 1373884 2376448 2747768 4752896 5495536 9505792 10991072 19011584 21982144 38023168 43964288 76046336 87928576 175857152 351714304 703428608 1406857216 2813714432