Search a number
-
+
1228055592960 = 214355721259
BaseRepresentation
bin10001110111101101110…
…100010100000000000000
311100101211022020220100000
4101313231310110000000
5130110024212433320
62340054433200000
7154503235210500
oct21675564240000
94311738226300
101228055592960
114338a7404359
1217a009400000
138ba60b9b7a1
144361c629a00
1521e27c83c90
hex11dedd14000

1228055592960 has 1080 divisors, whose sum is σ = 5139663852960. Its totient is φ = 280475467776.

The previous prime is 1228055592943. The next prime is 1228055592977. The reversal of 1228055592960 is 692955508221.

1228055592960 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 0 + 5 + 559 + 29 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1228055592943) and next prime (1228055592977).

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 1228055592897 and 1228055592906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 975420811 + ... + 975422069.

It is an arithmetic number, because the mean of its divisors is an integer number (4758948012).

Almost surely, 21228055592960 is an apocalyptic number.

1228055592960 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 1228055592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569831926480).

1228055592960 is an abundant number, since it is smaller than the sum of its proper divisors (3911608260000).

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

1228055592960 is an frugal number, since it uses more digits than its factorization.

1228055592960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 1228055592960 in words is "one trillion, two hundred twenty-eight billion, fifty-five million, five hundred ninety-two thousand, nine hundred sixty".