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96193166916 = 223711419248461
BaseRepresentation
bin101100110010110001…
…1110011111001000100
3100012021212102011222210
41121211203303321010
53034000422320131
6112105053223420
76643520266530
oct1314543637104
9305255364883
1096193166916
1137882598060
1216786a91b70
1390bcc220a2
144927630bc0
15277ee1e146
hex16658f3e44

96193166916 has 96 divisors (see below), whose sum is σ = 280503659520. Its totient is φ = 24925507200.

The previous prime is 96193166887. The next prime is 96193166929. The reversal of 96193166916 is 61966139169.

It is a super-2 number, since 2×961931669162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 262926 + ... + 511386.

It is an arithmetic number, because the mean of its divisors is an integer number (2921913120).

Almost surely, 296193166916 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 96193166916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140251829760).

96193166916 is an abundant number, since it is smaller than the sum of its proper divisors (184310492604).

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

96193166916 is a wasteful number, since it uses less digits than its factorization.

96193166916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248905 (or 248903 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 57.

The spelling of 96193166916 in words is "ninety-six billion, one hundred ninety-three million, one hundred sixty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 419 462 838 924 1257 1676 2514 2933 4609 5028 5866 8799 9218 11732 13827 17598 18436 27654 32263 35196 55308 64526 96789 129052 193578 248461 387156 496922 745383 993844 1490766 1739227 2733071 2981532 3478454 5217681 5466142 6956908 8199213 10435362 10932284 16398426 19131497 20870724 32796852 38262994 57394491 76525988 104105159 114788982 208210318 229577964 312315477 416420636 624630954 728736113 1145156749 1249261908 1457472226 2186208339 2290313498 2914944452 3435470247 4372416678 4580626996 6870940494 8016097243 8744833356 13741880988 16032194486 24048291729 32064388972 48096583458 96193166916