Search a number
-
+
1327465733472 = 253317374751971
BaseRepresentation
bin10011010100010011000…
…111111001110101100000
311200220102100222021111000
4103110103013321311200
5133222122211432342
62453455045352000
7164622560363154
oct23242307716540
94626370867430
101327465733472
11471a7a88827a
12195331708600
1398244423138
144836d1c3064
15247e530544c
hex135131f9d60

1327465733472 has 384 divisors, whose sum is σ = 4299988654080. Its totient is φ = 396575170560.

The previous prime is 1327465733443. The next prime is 1327465733491. The reversal of 1327465733472 is 2743375647231.

1327465733472 is a `hidden beast` number, since 1 + 3 + 27 + 4 + 6 + 573 + 3 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25516447 + ... + 25568417.

It is an arithmetic number, because the mean of its divisors is an integer number (11197887120).

Almost surely, 21327465733472 is an apocalyptic number.

1327465733472 is a gapful number since it is divisible by the number (12) 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 1327465733472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149994327040).

1327465733472 is an abundant number, since it is smaller than the sum of its proper divisors (2972522920608).

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

1327465733472 is a wasteful number, since it uses less digits than its factorization.

1327465733472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52091 (or 52077 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 54.

The spelling of 1327465733472 in words is "one trillion, three hundred twenty-seven billion, four hundred sixty-five million, seven hundred thirty-three thousand, four hundred seventy-two".