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9031841296 = 2423210332
BaseRepresentation
bin10000110100101011…
…01111011000010000
3212022110000002001121
420122111233120100
5121444122410141
64052115412024
7436550245552
oct103225573020
925273002047
109031841296
11391526a055
1219008b4014
13b0c24b3ba
146197434d2
1537cdbb1d1
hex21a56f610

9031841296 has 45 divisors (see below), whose sum is σ = 18310832589. Its totient is φ = 4315394688.

The previous prime is 9031841239. The next prime is 9031841297. The reversal of 9031841296 is 6921481309.

It is a happy number.

The square root of 9031841296 is 95036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8719824400 + 312016896 = 93380^2 + 17664^2 .

It is a super-2 number, since 2×90318412962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9031841297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8742796 + ... + 8743828.

Almost surely, 29031841296 is an apocalyptic number.

9031841296 is the 95036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9031841296

9031841296 is an abundant number, since it is smaller than the sum of its proper divisors (9278991293).

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

9031841296 is an equidigital number, since it uses as much as digits as its factorization.

9031841296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 9031841296 is about 2082.5339937679.

The spelling of 9031841296 in words is "nine billion, thirty-one million, eight hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1033 1058 2066 2116 4132 4232 8264 8464 16528 23759 47518 95036 190072 380144 546457 1067089 1092914 2134178 2185828 4268356 4371656 8536712 8743312 17073424 24543047 49086094 98172188 196344376 392688752 564490081 1128980162 2257960324 4515920648 9031841296