Search a number
-
+
1215772731472 = 2413358812
BaseRepresentation
bin10001101100010001101…
…100111010100001010000
311022020010021212212222011
4101230101230322201100
5124404400304401342
62330303540552304
7153556660464625
oct21542154724120
94266107785864
101215772731472
11429674014762
1217775b9b2694
138a85425a000
1442bb521a34c
152195978c717
hex11b11b3a850

1215772731472 has 60 divisors (see below), whose sum is σ = 2552200932540. Its totient is φ = 561030462720.

The previous prime is 1215772731461. The next prime is 1215772731533. The reversal of 1215772731472 is 2741372775121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 403077693456 + 812695038016 = 634884^2 + 901496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206725972 + ... + 206731852.

It is an arithmetic number, because the mean of its divisors is an integer number (42536682209).

Almost surely, 21215772731472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1215772731472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276100466270).

1215772731472 is an abundant number, since it is smaller than the sum of its proper divisors (1336428201068).

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

1215772731472 is an frugal number, since it uses more digits than its factorization.

1215772731472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 5896 counting only the distinct ones).

The product of its digits is 1152480, while the sum is 49.

The spelling of 1215772731472 in words is "one trillion, two hundred fifteen billion, seven hundred seventy-two million, seven hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2197 2704 4394 5881 8788 11762 17576 23524 35152 47048 76453 94096 152906 305812 611624 993889 1223248 1987778 3975556 7951112 12920557 15902224 25841114 34586161 51682228 69172322 103364456 138344644 206728912 276689288 449620093 553378576 899240186 1798480372 3596960744 5845061209 7193921488 11690122418 23380244836 46760489672 75985795717 93520979344 151971591434 303943182868 607886365736 1215772731472