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1984946112 = 2632171947227
BaseRepresentation
bin111011001001111…
…1101111111000000
312010100000201011200
41312103331333000
513031121233422
6524544141200
7100121522622
oct16623757700
95110021150
101984946112
119294a5436
12474907800
13258306336
1414b89ac12
15b93dc2ac
hex764fdfc0

1984946112 has 336 divisors, whose sum is σ = 6504675840. Its totient is φ = 574857216.

The previous prime is 1984946111. The next prime is 1984946137. The reversal of 1984946112 is 2116494891.

It is a happy number.

1984946112 is a `hidden beast` number, since 1 + 98 + 494 + 61 + 12 = 666.

It is a super-2 number, since 2×19849461122 = 7880022135087833088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984946111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8744143 + ... + 8744369.

Almost surely, 21984946112 is an apocalyptic number.

1984946112 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 1984946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252337920).

1984946112 is an abundant number, since it is smaller than the sum of its proper divisors (4519729728).

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

1984946112 is a wasteful number, since it uses less digits than its factorization.

1984946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1984946112 is about 44552.7340575188. The cubic root of 1984946112 is about 1256.7519669795.

The spelling of 1984946112 in words is "one billion, nine hundred eighty-four million, nine hundred forty-six thousand, one hundred twelve".