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1949780712 = 23311313747137
BaseRepresentation
bin111010000110111…
…0100101011101000
312000212212010022110
41310031310223220
512443120440322
6521250322320
766213601605
oct16415645350
95025763273
101949780712
11910667120
12464b893a0
13250c431c9
14146d456ac
15b6292c0c
hex74374ae8

1949780712 has 256 divisors, whose sum is σ = 5799444480. Its totient is φ = 540518400.

The previous prime is 1949780699. The next prime is 1949780713. The reversal of 1949780712 is 2170879491.

1949780712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1949780713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14231908 + ... + 14232044.

It is an arithmetic number, because the mean of its divisors is an integer number (22654080).

Almost surely, 21949780712 is an apocalyptic number.

1949780712 is a gapful number since it is divisible by the number (12) 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 1949780712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899722240).

1949780712 is an abundant number, since it is smaller than the sum of its proper divisors (3849663768).

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

1949780712 is a wasteful number, since it uses less digits than its factorization.

1949780712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The square root of 1949780712 is about 44156.3213141675. The cubic root of 1949780712 is about 1249.2861442990.

The spelling of 1949780712 in words is "one billion, nine hundred forty-nine million, seven hundred eighty thousand, seven hundred twelve".