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96165456168 = 23361731137963
BaseRepresentation
bin101100110001111101…
…0000110100100101000
3100012012221021022222210
41121203322012210220
53033421324044133
6112102223245120
76643032614265
oct1314372064450
9305187238883
1096165456168
1137868990611
12167797497a0
1390b726c0b2
144923a9a26c
15277c798763
hex1663e86928

96165456168 has 128 divisors (see below), whose sum is σ = 249925610880. Its totient is φ = 30818672640.

The previous prime is 96165456091. The next prime is 96165456169. The reversal of 96165456168 is 86165456169.

It is not an unprimeable number, because it can be changed into a prime (96165456169) 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 31 ways as a sum of consecutive naturals, for example, 12072555 + ... + 12080517.

It is an arithmetic number, because the mean of its divisors is an integer number (1952543835).

Almost surely, 296165456168 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 96165456168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124962805440).

96165456168 is an abundant number, since it is smaller than the sum of its proper divisors (153760154712).

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

96165456168 is a wasteful number, since it uses less digits than its factorization.

96165456168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8215 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

Subtracting from 96165456168 its reverse (86165456169), we obtain a palindrome (9999999999).

The spelling of 96165456168 in words is "ninety-six billion, one hundred sixty-five million, four hundred fifty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 73 113 122 146 183 219 226 244 292 339 366 438 452 488 584 678 732 876 904 1356 1464 1752 2712 4453 6893 7963 8249 8906 13359 13786 15926 16498 17812 20679 23889 24747 26718 27572 31852 32996 35624 41358 47778 49494 53436 55144 63704 65992 82716 95556 98988 106872 165432 191112 197976 485743 503189 581299 899819 971486 1006378 1162598 1457229 1509567 1743897 1799638 1942972 2012756 2325196 2699457 2914458 3019134 3487794 3599276 3885944 4025512 4650392 5398914 5828916 6038268 6975588 7198552 10797828 11657832 12076536 13951176 21595656 35459239 54888959 65686787 70918478 106377717 109777918 131373574 141836956 164666877 197060361 212755434 219555836 262747148 283673912 329333754 394120722 425510868 439111672 525494296 658667508 788241444 851021736 1317335016 1576482888 4006894007 8013788014 12020682021 16027576028 24041364042 32055152056 48082728084 96165456168