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1989352277136 = 2434722921932
BaseRepresentation
bin11100111100101110101…
…000101100010010010000
321001011212101021111010000
4130330232220230102100
5230043143140332021
64121521255210000
7263504001232200
oct34745650542220
97034771244100
101989352277136
116a7752553024
12281672076900
1311579760c543
146c3dc6c0400
1536b33326b26
hex1cf2ea2c490

1989352277136 has 675 divisors, whose sum is σ = 6972856261371. Its totient is φ = 545943379968.

The previous prime is 1989352277039. The next prime is 1989352277137. The reversal of 1989352277136 is 6317722539891.

The square root of 1989352277136 is 1410444.

It is a perfect power (a square), and thus also a powerful number.

1989352277136 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 3 + 522 + 7 + 71 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118322240400 + 1871030036736 = 343980^2 + 1367856^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1989352277137) 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 134 ways as a sum of consecutive naturals, for example, 10307524656 + ... + 10307524848.

Almost surely, 21989352277136 is an apocalyptic number.

1989352277136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1989352277136 is the 1410444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1989352277136

1989352277136 is an abundant number, since it is smaller than the sum of its proper divisors (4983503984235).

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

1989352277136 is an equidigital number, since it uses as much as digits as its factorization.

1989352277136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 234 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 1989352277136 in words is "one trillion, nine hundred eighty-nine billion, three hundred fifty-two million, two hundred seventy-seven thousand, one hundred thirty-six".