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2674444472 = 237617111027
BaseRepresentation
bin1001111101101000…
…1100100010111000
320220101102212002222
42133122030202320
520434124210342
61121214343212
7123163255130
oct23732144270
96811385088
102674444472
111152721797
126277bab08
1333810972b
141b529dac0
15109bd7ed2
hex9f68c8b8

2674444472 has 64 divisors (see below), whose sum is σ = 5907479040. Its totient is φ = 1111420800.

The previous prime is 2674444447. The next prime is 2674444477. The reversal of 2674444472 is 2744444762.

2674444472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26744444722 = 14305306467622717568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2674444477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237023 + ... + 248049.

It is an arithmetic number, because the mean of its divisors is an integer number (92304360).

Almost surely, 22674444472 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 2674444472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953739520).

2674444472 is an abundant number, since it is smaller than the sum of its proper divisors (3233034568).

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

2674444472 is a wasteful number, since it uses less digits than its factorization.

2674444472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172 (or 11168 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 44.

The square root of 2674444472 is about 51715.0313932033. The cubic root of 2674444472 is about 1388.0694473138.

The spelling of 2674444472 in words is "two billion, six hundred seventy-four million, four hundred forty-four thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 61 71 122 142 244 284 427 488 497 568 854 994 1708 1988 3416 3976 4331 8662 11027 17324 22054 30317 34648 44108 60634 77189 88216 121268 154378 242536 308756 617512 672647 782917 1345294 1565834 2690588 3131668 4708529 5381176 5480419 6263336 9417058 10960838 18834116 21921676 37668232 43843352 47757937 95515874 191031748 334305559 382063496 668611118 1337222236 2674444472