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1228617113472 = 2735731182029
BaseRepresentation
bin10001111000001111010…
…010010101111110000000
311100110021102212002200000
4101320033102111332000
5130112201440112342
62340230252400000
7154523164103520
oct21701722257600
94313242762600
101228617113472
1143406536aaa1
1217a145476000
138bb20313948
1443673037680
1521e5c20044c
hex11e0f495f80

1228617113472 has 384 divisors, whose sum is σ = 4325382297600. Its totient is φ = 339707934720.

The previous prime is 1228617113461. The next prime is 1228617113483. The reversal of 1228617113472 is 2743117168221.

It is a happy number.

1228617113472 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 6 + 171 + 1 + 3 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (1228617113461) and next prime (1228617113483).

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6658554 + ... + 6840582.

It is an arithmetic number, because the mean of its divisors is an integer number (11264016400).

Almost surely, 21228617113472 is an apocalyptic number.

1228617113472 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 1228617113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162691148800).

1228617113472 is an abundant number, since it is smaller than the sum of its proper divisors (3096765184128).

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

1228617113472 is an equidigital number, since it uses as much as digits as its factorization.

1228617113472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182096 (or 182072 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 1228617113472 in words is "one trillion, two hundred twenty-eight billion, six hundred seventeen million, one hundred thirteen thousand, four hundred seventy-two".