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2485846016 = 21683457
BaseRepresentation
bin1001010000101011…
…0000000000000000
320102020120001122222
42110022300000000
520042334033031
61050400150212
7115413225323
oct22412600000
96366501588
102485846016
1110662169a5
12594608368
13308014c04
141982087ba
15e8381e7b
hex942b0000

2485846016 has 68 divisors (see below), whose sum is σ = 5042563512. Its totient is φ = 1225261056.

The previous prime is 2485846001. The next prime is 2485846081. The reversal of 2485846016 is 6106485842.

It is a happy number.

It is a super-3 number, since 3×24858460163 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5439260 + ... + 5439716.

Almost surely, 22485846016 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 2485846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521281756).

2485846016 is an abundant number, since it is smaller than the sum of its proper divisors (2556717496).

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

2485846016 is an frugal number, since it uses more digits than its factorization.

2485846016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 2485846016 is about 49858.2592556138. The cubic root of 2485846016 is about 1354.6426377479.

The spelling of 2485846016 in words is "two billion, four hundred eighty-five million, eight hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 457 512 664 914 1024 1328 1828 2048 2656 3656 4096 5312 7312 8192 10624 14624 16384 21248 29248 32768 37931 42496 58496 65536 75862 84992 116992 151724 169984 233984 303448 339968 467968 606896 679936 935936 1213792 1359872 1871872 2427584 2719744 3743744 4855168 5439488 7487488 9710336 14974976 19420672 29949952 38841344 77682688 155365376 310730752 621461504 1242923008 2485846016