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1942113888 = 2533112131429
BaseRepresentation
bin111001111000010…
…0100111001100000
312000100102121102000
41303300210321200
512434140121023
6520414124000
766061460421
oct16360447140
95010377360
101942113888
119072aaa00
124624b0600
1324c48a620
14145d0b648
15b577b243
hex73c24e60

1942113888 has 288 divisors, whose sum is σ = 6709903200. Its totient is φ = 542868480.

The previous prime is 1942113883. The next prime is 1942113889. The reversal of 1942113888 is 8883112491.

1942113888 is a `hidden beast` number, since 19 + 421 + 138 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (1942113883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358358 + ... + 1359786.

It is an arithmetic number, because the mean of its divisors is an integer number (23298275).

Almost surely, 21942113888 is an apocalyptic number.

1942113888 is a gapful number since it is divisible by the number (18) 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 1942113888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354951600).

1942113888 is an abundant number, since it is smaller than the sum of its proper divisors (4767789312).

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

1942113888 is a wasteful number, since it uses less digits than its factorization.

1942113888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1458 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 1942113888 is about 44069.4212351376. The cubic root of 1942113888 is about 1247.6465345144.

The spelling of 1942113888 in words is "one billion, nine hundred forty-two million, one hundred thirteen thousand, eight hundred eighty-eight".