Search a number
-
+
1330203809088 = 26347311471447
BaseRepresentation
bin10011010110110110010…
…100110101010101000000
311201011111012010221010000
4103112312110311111000
5133243224133342323
62455030500040000
7165050455551000
oct23266624652500
94634435127100
101330203809088
1147315540aa90
12195976693000
139858c77b51b
144854cac8000
15249058abe43
hex135b6535540

1330203809088 has 1120 divisors, whose sum is σ = 5126726246400. Its totient is φ = 337922565120.

The previous prime is 1330203809087. The next prime is 1330203809093. The reversal of 1330203809088 is 8809083020331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330203809087) 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 159 ways as a sum of consecutive naturals, for example, 919283181 + ... + 919284627.

Almost surely, 21330203809088 is an apocalyptic number.

1330203809088 is a gapful number since it is divisible by the number (18) 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 1330203809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563363123200).

1330203809088 is an abundant number, since it is smaller than the sum of its proper divisors (3796522437312).

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

1330203809088 is a wasteful number, since it uses less digits than its factorization.

1330203809088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1330203809088 in words is "one trillion, three hundred thirty billion, two hundred three million, eight hundred nine thousand, eighty-eight".