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2049011712 = 212321131163
BaseRepresentation
bin111101000100001…
…0111000000000000
312021210120120122200
41322020113000000
513144021333322
6535153233200
7101530212036
oct17210270000
95253516580
102049011712
11961682910
12492262800
13268677987
141561b6556
15bed448ac
hex7a217000

2049011712 has 312 divisors, whose sum is σ = 6705873408. Its totient is φ = 597196800.

The previous prime is 2049011707. The next prime is 2049011719. The reversal of 2049011712 is 2171109402.

2049011712 is a `hidden beast` number, since 2 + 0 + 490 + 1 + 171 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049011719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12570543 + ... + 12570705.

It is an arithmetic number, because the mean of its divisors is an integer number (21493184).

Almost surely, 22049011712 is an apocalyptic number.

2049011712 is a gapful number since it is divisible by the number (22) 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 2049011712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352936704).

2049011712 is an abundant number, since it is smaller than the sum of its proper divisors (4656861696).

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

2049011712 is a wasteful number, since it uses less digits than its factorization.

2049011712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2049011712 is about 45266.0105598008. The cubic root of 2049011712 is about 1270.1299207819.

The spelling of 2049011712 in words is "two billion, forty-nine million, eleven thousand, seven hundred twelve".