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216896055696 = 243343910131129
BaseRepresentation
bin1100101000000000000…
…0110010100110010000
3202201211212012020122000
43022000000302212100
512023200342240241
6243350215114000
721445613024415
oct3120000624620
9681755166560
10216896055696
1183a921949a1
1236052072900
13175b791a678
14a6d806410c
155996967eb6
hex3280032990

216896055696 has 160 divisors (see below), whose sum is σ = 625159392000. Its totient is φ = 71998958592.

The previous prime is 216896055689. The next prime is 216896055697. The reversal of 216896055696 is 696550698612.

216896055696 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 9 + 60 + 5 + 569 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (216896055697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192112860 + ... + 192113988.

It is an arithmetic number, because the mean of its divisors is an integer number (3907246200).

Almost surely, 2216896055696 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 216896055696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312579696000).

216896055696 is an abundant number, since it is smaller than the sum of its proper divisors (408263336304).

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

216896055696 is a wasteful number, since it uses less digits than its factorization.

216896055696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 216896055696 in words is "two hundred sixteen billion, eight hundred ninety-six million, fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 439 878 1013 1129 1317 1756 2026 2258 2634 3039 3387 3512 3951 4052 4516 5268 6078 6774 7024 7902 8104 9032 9117 10161 10536 11853 12156 13548 15804 16208 18064 18234 20322 21072 23706 24312 27096 27351 30483 31608 36468 40644 47412 48624 54192 54702 60966 63216 72936 81288 94824 109404 121932 145872 162576 189648 218808 243864 437616 444707 487728 495631 889414 991262 1143677 1334121 1486893 1778828 1982524 2287354 2668242 2973786 3431031 3557656 3965048 4002363 4460679 4574708 5336484 5947572 6862062 7115312 7930096 8004726 8921358 9149416 10293093 10672968 11895144 12007089 13382037 13724124 16009452 17842716 18298832 20586186 21345936 23790288 24014178 26764074 27448248 30879279 32018904 35685432 41172372 48028356 53528148 54896496 61758558 64037808 71370864 82344744 96056712 107056296 123517116 164689488 192113424 214112592 247034232 494068464 502074203 1004148406 1506222609 2008296812 3012445218 4016593624 4518667827 6024890436 8033187248 9037335654 12049780872 13556003481 18074671308 24099561744 27112006962 36149342616 54224013924 72298685232 108448027848 216896055696