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9381378144 = 25397722689
BaseRepresentation
bin10001011110010110…
…00111100001100000
3220012210201101110210
420233023013201200
5123203113100034
64150523254120
7451323253455
oct105713074140
926183641423
109381378144
113a845a8286
12199997a340
13b667a1838
1464dd2d82c
1539d9128e9
hex22f2c7860

9381378144 has 24 divisors (see below), whose sum is σ = 24626117880. Its totient is φ = 3127126016.

The previous prime is 9381378119. The next prime is 9381378191. The reversal of 9381378144 is 4418731839.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9381378093 and 9381378102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48861249 + ... + 48861440.

It is an arithmetic number, because the mean of its divisors is an integer number (1026088245).

Almost surely, 29381378144 is an apocalyptic number.

It is an amenable number.

9381378144 is an abundant number, since it is smaller than the sum of its proper divisors (15244739736).

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

9381378144 is a wasteful number, since it uses less digits than its factorization.

9381378144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97722702 (or 97722694 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 9381378144 is about 96857.5146490968. The cubic root of 9381378144 is about 2109.0597357425.

The spelling of 9381378144 in words is "nine billion, three hundred eighty-one million, three hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97722689 195445378 293168067 390890756 586336134 781781512 1172672268 1563563024 2345344536 3127126048 4690689072 9381378144