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8000002000000 = 27564197561
BaseRepresentation
bin111010001101010010101…
…0001110000010010000000
31001022210101220011000100101
41310122211101300102000
52022033001003000000
625003052234532144
71453660336006153
oct164324521602200
931283356130311
108000002000000
11260486662992a
12a92554597054
134605211445aa
141d92b8a3dc9a
15dd17220ce6a
hex746a5470480

8000002000000 has 224 divisors, whose sum is σ = 20407727449620. Its totient is φ = 3121920000000.

The previous prime is 8000001999991. The next prime is 8000002000013. The reversal of 8000002000000 is 2000008.

It is a happy number.

8000002000000 is a nontrivial binomial coefficient, being equal to C(4000001, 2).

It can be written as a sum of positive squares in 14 ways, for example, as 7672057943104 + 327944056896 = 2769848^2 + 572664^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81951220 + ... + 82048780.

Almost surely, 28000002000000 is an apocalyptic number.

8000002000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8000002000000 is the 4000000-th triangular number.

8000002000000 is the 1333334-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203863724810).

8000002000000 is an abundant number, since it is smaller than the sum of its proper divisors (12407725449620).

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

8000002000000 is an frugal number, since it uses more digits than its factorization.

8000002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97646 (or 97609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 8000002000000 its reverse (2000008), we get a palindrome (8000004000008).

The spelling of 8000002000000 in words is "eight trillion, two million", and thus it is an aban number and an uban number.