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3993990000 = 2435472111319
BaseRepresentation
bin1110111000001111…
…0111001101110000
3101022100101201021120
43232003313031300
531134430140000
61500153022240
7200655232500
oct35603671560
911270351246
103993990000
11176a559890
129356b4980
134b85c8cc0
1429c62ba00
151859896a0
hexee0f7370

3993990000 has 1200 divisors, whose sum is σ = 18547562880. Its totient is φ = 725760000.

The previous prime is 3993989959. The next prime is 3993990029. The reversal of 3993990000 is 993993.

3993990000 is a nontrivial binomial coefficient, being equal to C(89376, 2).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×39939900002 = 31903912240200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 210209991 + ... + 210210009.

Almost surely, 23993990000 is an apocalyptic number.

3993990000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3993990000 is the 89375-th triangular number and also the 44688-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9273781440).

3993990000 is an abundant number, since it is smaller than the sum of its proper divisors (14553572880).

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

3993990000 is a wasteful number, since it uses less digits than its factorization.

3993990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 42.

The square root of 3993990000 is about 63198.0221209493. The cubic root of 3993990000 is about 1586.6056301011.

It can be divided in two parts, 399 and 3990000, that multiplied together give a square (1592010000 = 399002).

The spelling of 3993990000 in words is "three billion, nine hundred ninety-three million, nine hundred ninety thousand".