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96241832505 = 33571317460829
BaseRepresentation
bin101100110100001110…
…1011101001000111001
3100012102020222122122000
41121220131131020321
53034100402120010
6112113552251213
76644651035650
oct1315035351071
9305366878560
1096241832505
11378a8007255
121679b240b09
1390ca030cb0
14492dc9c197
1527843337c0
hex166875d239

96241832505 has 128 divisors (see below), whose sum is σ = 222967987200. Its totient is φ = 38222917632.

The previous prime is 96241832371. The next prime is 96241832507. The reversal of 96241832505 is 50523814269.

96241832505 is a `hidden beast` number, since 9 + 62 + 4 + 1 + 83 + 2 + 505 = 666.

It is not a de Polignac number, because 96241832505 - 29 = 96241831993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (96241832507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21570 + ... + 439259.

It is an arithmetic number, because the mean of its divisors is an integer number (1741937400).

Almost surely, 296241832505 is an apocalyptic number.

It is an amenable number.

96241832505 is an abundant number, since it is smaller than the sum of its proper divisors (126726154695).

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

96241832505 is a wasteful number, since it uses less digits than its factorization.

96241832505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460880 (or 460874 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 96241832505 in words is "ninety-six billion, two hundred forty-one million, eight hundred thirty-two thousand, five hundred five".

Divisors: 1 3 5 7 9 13 15 17 21 27 35 39 45 51 63 65 85 91 105 117 119 135 153 189 195 221 255 273 315 351 357 455 459 585 595 663 765 819 945 1071 1105 1365 1547 1755 1785 1989 2295 2457 3213 3315 4095 4641 5355 5967 7735 9945 12285 13923 16065 23205 29835 41769 69615 208845 460829 1382487 2304145 3225803 4147461 5990777 6912435 7834093 9677409 12442383 16129015 17972331 20737305 23502279 29032227 29953885 39170465 41935439 48387045 53916993 54838651 62211915 70506837 87096681 89861655 101843209 117511395 125806317 145161135 161750979 164515953 209677195 211520511 269584965 274193255 305529627 352534185 377418951 435483405 493547859 509216045 629031585 712902463 808754895 822579765 916588881 1057602555 1132256853 1480643577 1527648135 1887094755 2138707389 2467739295 2749766643 3564512315 4582944405 5661284265 6416122167 7403217885 10693536945 13748833215 19248366501 32080610835 96241832505