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1616273690000 = 2454536149993

1616273690000 has 200 divisors, whose sum is σ = 4052435049432. Its totient is φ = 623900160000.

The previous prime is 1616273689991. The next prime is 1616273690071. The reversal of 1616273690000 is 963726161.

It can be written as a sum of positive squares in 20 ways, for example, as 1616234201344 + 39488656 = 1271312^2 + 6284^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×16162736900002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1616273690000.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 32305004 + ... + 32354996.

Almost surely, 21616273690000 is an apocalyptic number.

1616273690000 is a gapful number since it is divisible by the number (10) 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 1616273690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026217524716).

1616273690000 is an abundant number, since it is smaller than the sum of its proper divisors (2436161359432).

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

1616273690000 is an equidigital number, since it uses as much as digits as its factorization.

1616273690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50135 (or 50114 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 1616273690000 in words is "one trillion, six hundred sixteen billion, two hundred seventy-three million, six hundred ninety thousand".