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9484476672 = 283114723887
BaseRepresentation
bin10001101010101000…
…11010000100000000
3220110222201100001210
420311110122010000
5123411011223142
64205045130120
7454014502326
oct106524320400
926428640053
109484476672
114027815780
121a083b9940
13b81c5b798
1465d8c9d16
153a79ca49c
hex23551a100

9484476672 has 144 divisors (see below), whose sum is σ = 28124393472. Its totient is φ = 2812815360.

The previous prime is 9484476671. The next prime is 9484476689. The reversal of 9484476672 is 2766744849.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9484476671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385113 + ... + 408999.

It is an arithmetic number, because the mean of its divisors is an integer number (195308288).

Almost surely, 29484476672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9484476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062196736).

9484476672 is an abundant number, since it is smaller than the sum of its proper divisors (18639916800).

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

9484476672 is a wasteful number, since it uses less digits than its factorization.

9484476672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23964 (or 23950 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The square root of 9484476672 is about 97388.2778983179. The cubic root of 9484476672 is about 2116.7575828957.

The spelling of 9484476672 in words is "nine billion, four hundred eighty-four million, four hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 256 264 282 352 376 384 517 528 564 704 752 768 1034 1056 1128 1408 1504 1551 2068 2112 2256 2816 3008 3102 4136 4224 4512 6016 6204 8272 8448 9024 12032 12408 16544 18048 23887 24816 33088 36096 47774 49632 66176 71661 95548 99264 132352 143322 191096 198528 262757 286644 382192 397056 525514 573288 764384 788271 1051028 1122689 1146576 1528768 1576542 2102056 2245378 2293152 3057536 3153084 3368067 4204112 4490756 4586304 6115072 6306168 6736134 8408224 8981512 9172608 12349579 12612336 13472268 16816448 17963024 18345216 24699158 25224672 26944536 33632896 35926048 37048737 49398316 50449344 53889072 67265792 71852096 74097474 98796632 100898688 107778144 143704192 148194948 197593264 201797376 215556288 287408384 296389896 395186528 431112576 592779792 790373056 862225152 1185559584 1580746112 2371119168 3161492224 4742238336 9484476672