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9048781152 = 2532132723677
BaseRepresentation
bin10000110110101100…
…10111000101100000
3212100121212201011200
420123112113011200
5122012441444102
64053522441200
7440144241105
oct103326270540
925317781150
109048781152
11392388a234
121906503200
13b128cc998
1461bab2aac
1537e61551c
hex21b597160

9048781152 has 72 divisors (see below), whose sum is σ = 25752950496. Its totient is φ = 3013860096.

The previous prime is 9048781129. The next prime is 9048781201. The reversal of 9048781152 is 2511878409.

9048781152 is a `hidden beast` number, since 90 + 487 + 81 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 9048781098 and 9048781107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370338 + ... + 394014.

It is an arithmetic number, because the mean of its divisors is an integer number (357679868).

Almost surely, 29048781152 is an apocalyptic number.

It is an amenable number.

9048781152 is an abundant number, since it is smaller than the sum of its proper divisors (16704169344).

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

9048781152 is a wasteful number, since it uses less digits than its factorization.

9048781152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25020 (or 25009 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 9048781152 is about 95125.0816136312. The cubic root of 9048781152 is about 2083.8351604742.

The spelling of 9048781152 in words is "nine billion, forty-eight million, seven hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1327 2654 3981 5308 7962 10616 11943 15924 21232 23677 23886 31848 42464 47354 47772 63696 71031 94708 95544 127392 142062 189416 191088 213093 284124 378832 382176 426186 568248 757664 852372 1136496 1704744 2272992 3409488 6818976 31419379 62838758 94258137 125677516 188516274 251355032 282774411 377032548 502710064 565548822 754065096 1005420128 1131097644 1508130192 2262195288 3016260384 4524390576 9048781152