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2027995297152 = 273112140930977
BaseRepresentation
bin11101100000101101111…
…100000111010110000000
321011212121110221022000120
4131200231330013112000
5231211313244002102
64151352001220240
7266342420414136
oct35405574072600
97155543838016
102027995297152
11712082525a00
12289057631680
131193154c6666
1470226977756
1537b45b156bc
hex1d82df07580

2027995297152 has 192 divisors, whose sum is σ = 5925490426800. Its totient is φ = 614088048640.

The previous prime is 2027995297151. The next prime is 2027995297241. The reversal of 2027995297152 is 2517925997202.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×20279952971522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027995297151) 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 23 ways as a sum of consecutive naturals, for example, 65452288 + ... + 65483264.

Almost surely, 22027995297152 is an apocalyptic number.

2027995297152 is a gapful number since it is divisible by the number (22) 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 2027995297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962745213400).

2027995297152 is an abundant number, since it is smaller than the sum of its proper divisors (3897495129648).

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

2027995297152 is a wasteful number, since it uses less digits than its factorization.

2027995297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32425 (or 32402 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 60.

The spelling of 2027995297152 in words is "two trillion, twenty-seven billion, nine hundred ninety-five million, two hundred ninety-seven thousand, one hundred fifty-two".