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916442852325 = 3527111312207031
BaseRepresentation
bin11010101011000000100…
…00000010101111100101
310020121111110220112012220
431111200100002233211
5110003333332233300
61541001422502553
7123132210500340
oct15254020025745
93217443815186
10916442852325
1132373010a150
12129742a34a59
1368560208820
14324db0b5457
1518c8ad4cda0
hexd560402be5

916442852325 has 96 divisors (see below), whose sum is σ = 2034375124992. Its totient is φ = 351562464000.

The previous prime is 916442852321. The next prime is 916442852357. The reversal of 916442852325 is 523258244619.

It is not a de Polignac number, because 916442852325 - 22 = 916442852321 is a prime.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916442852321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6028441 + ... + 6178590.

It is an arithmetic number, because the mean of its divisors is an integer number (21191407552).

Almost surely, 2916442852325 is an apocalyptic number.

It is an amenable number.

916442852325 is an abundant number, since it is smaller than the sum of its proper divisors (1117932272667).

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

916442852325 is a wasteful number, since it uses less digits than its factorization.

916442852325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207075 (or 12207070 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 916442852325 in words is "nine hundred sixteen billion, four hundred forty-two million, eight hundred fifty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 143 165 175 195 231 273 275 325 385 429 455 525 715 825 975 1001 1155 1365 1925 2145 2275 3003 3575 5005 5775 6825 10725 15015 25025 75075 12207031 36621093 61035155 85449217 134277341 158691403 183105465 256347651 305175775 402832023 427246085 476074209 671386705 793457015 915527325 939941387 1110839821 1281738255 1745605433 2014160115 2136230425 2380371045 2819824161 3332519463 3356933525 3967285075 4699706935 5236816299 5554199105 6408691275 8728027165 10070800575 11901855225 12219238031 14099120805 16662597315 23498534675 26184081495 27770995525 36657714093 43640135825 61096190155 70495604025 83312986575 130920407475 183288570465 305480950775 916442852325