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9054143186016 = 253239194462033
BaseRepresentation
bin1000001111000001010011…
…1111010000010001100000
31012001120022210202122201010
42003300110333100101200
52141320341123423031
631131225502540520
71623066052154445
oct203602477202140
935046283678633
109054143186016
112980927873155
121022906297740
13508a57105676
1423431979d9cc
1510a7bbb7c246
hex83c14fd0460

9054143186016 has 96 divisors (see below), whose sum is σ = 24827471101440. Its totient is φ = 2883686344704.

The previous prime is 9054143186009. The next prime is 9054143186047. The reversal of 9054143186016 is 6106813414509.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 201865 + ... + 4260168.

It is an arithmetic number, because the mean of its divisors is an integer number (258619490640).

Almost surely, 29054143186016 is an apocalyptic number.

9054143186016 is a gapful number since it is divisible by the number (96) 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 9054143186016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413735550720).

9054143186016 is an abundant number, since it is smaller than the sum of its proper divisors (15773327915424).

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

9054143186016 is a wasteful number, since it uses less digits than its factorization.

9054143186016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462988 (or 4462980 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 9054143186016 in words is "nine trillion, fifty-four billion, one hundred forty-three million, one hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 919 1104 1838 2208 2757 3676 5514 7352 11028 14704 21137 22056 29408 42274 44112 63411 84548 88224 126822 169096 253644 338192 507288 676384 1014576 2029152 4462033 8924066 13386099 17848132 26772198 35696264 53544396 71392528 102626759 107088792 142785056 205253518 214177584 307880277 410507036 428355168 615760554 821014072 1231521108 1642028144 2463042216 3284056288 4100608327 4926084432 8201216654 9852168864 12301824981 16402433308 24603649962 32804866616 49207299924 65609733232 94313991521 98414599848 131219466464 188627983042 196829199696 282941974563 377255966084 393658399392 565883949126 754511932168 1131767898252 1509023864336 2263535796504 3018047728672 4527071593008 9054143186016