Search a number
-
+
1381362892800 = 2163521129881
BaseRepresentation
bin10100000110011111101…
…001010000000000000000
311220001112112222122200020
4110012133221100000000
5140113012400032200
62534331144453440
7201541313566362
oct24063751200000
94801475878606
101381362892800
11492918382860
121a387377a280
13a03536b7aa7
144ac03336d32
1525debda8ea0
hex1419fa50000

1381362892800 has 816 divisors, whose sum is σ = 5160590326080. Its totient is φ = 322961408000.

The previous prime is 1381362892799. The next prime is 1381362892883. The reversal of 1381362892800 is 82982631831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1567948360 + ... + 1567949240.

Almost surely, 21381362892800 is an apocalyptic number.

1381362892800 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 1381362892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580295163040).

1381362892800 is an abundant number, since it is smaller than the sum of its proper divisors (3779227433280).

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

1381362892800 is an equidigital number, since it uses as much as digits as its factorization.

1381362892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 1381362892800 in words is "one trillion, three hundred eighty-one billion, three hundred sixty-two million, eight hundred ninety-two thousand, eight hundred".