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3997918080 = 27335132372
BaseRepresentation
bin1110111001001011…
…0110001110000000
3101022121210021121000
43232102312032000
531141431334310
61500413132000
7201033512562
oct35622661600
911277707530
103997918080
1117717a2032
12936a8a000
134b9372c00
1429cd71332
15185eb34c0
hexee4b6380

3997918080 has 576 divisors, whose sum is σ = 15757837200. Its totient is φ = 957505536.

The previous prime is 3997918063. The next prime is 3997918109. The reversal of 3997918080 is 808197993.

3997918080 is a `hidden beast` number, since 399 + 79 + 180 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108051822 + ... + 108051858.

Almost surely, 23997918080 is an apocalyptic number.

3997918080 is a gapful number since it is divisible by the number (30) 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 3997918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878918600).

3997918080 is an abundant number, since it is smaller than the sum of its proper divisors (11759919120).

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

3997918080 is a wasteful number, since it uses less digits than its factorization.

3997918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 3997918080 is about 63229.0920383964. The cubic root of 3997918080 is about 1587.1256006739.

The spelling of 3997918080 in words is "three billion, nine hundred ninety-seven million, nine hundred eighteen thousand, eighty".