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9045801648 = 2432135981901
BaseRepresentation
bin10000110110010101…
…11111101010110000
3212100102021100001200
420123022333222300
5122011211123043
64053334531200
7440110021362
oct103312775260
925312240050
109045801648
113922134734
121905506b00
13b120c8770
1461b538d32
1537e2277d3
hex21b2bfab0

9045801648 has 120 divisors (see below), whose sum is σ = 27725465040. Its totient is φ = 2736115200.

The previous prime is 9045801631. The next prime is 9045801649. The reversal of 9045801648 is 8461085409.

9045801648 is a `hidden beast` number, since 9 + 0 + 4 + 580 + 1 + 64 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (9045801649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69498 + ... + 151398.

It is an arithmetic number, because the mean of its divisors is an integer number (231045542).

Almost surely, 29045801648 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 9045801648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862732520).

9045801648 is an abundant number, since it is smaller than the sum of its proper divisors (18679663392).

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

9045801648 is a wasteful number, since it uses less digits than its factorization.

9045801648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81987 (or 81978 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9045801648 is about 95109.4193442479. The cubic root of 9045801648 is about 2083.6064196572.

The spelling of 9045801648 in words is "nine billion, forty-five million, eight hundred one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 468 472 531 624 708 767 936 944 1062 1416 1534 1872 2124 2301 2832 3068 4248 4602 6136 6903 8496 9204 12272 13806 18408 27612 36816 55224 81901 110448 163802 245703 327604 491406 655208 737109 982812 1064713 1310416 1474218 1965624 2129426 2948436 3194139 3931248 4258852 4832159 5896872 6388278 8517704 9582417 9664318 11793744 12776556 14496477 17035408 19164834 19328636 25553112 28992954 38329668 38657272 43489431 51106224 57985908 62818067 76659336 77314544 86978862 115971816 125636134 153318672 173957724 188454201 231943632 251272268 347915448 376908402 502544536 565362603 695830896 753816804 1005089072 1130725206 1507633608 2261450412 3015267216 4522900824 9045801648