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84851960382816 = 25311412919460459
BaseRepresentation
bin10011010010110000100010…
…111101010000010101100000
3102010102202202000022101211120
4103102300202331100111200
542110203303324222231
6500244241422212240
723605231451651154
oct2322604275202540
9363382660271746
1084851960382816
1125044572606140
129624a65a24080
13384667585cb63
1416d4bdd091064
159c22da714d96
hex4d2c22f50560

84851960382816 has 96 divisors (see below), whose sum is σ = 243044020195200. Its totient is φ = 25706486599680.

The previous prime is 84851960382797. The next prime is 84851960382857. The reversal of 84851960382816 is 61828306915848.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5370006 + ... + 14090453.

It is an arithmetic number, because the mean of its divisors is an integer number (2531708543700).

Almost surely, 284851960382816 is an apocalyptic number.

It is an amenable number.

84851960382816 is an abundant number, since it is smaller than the sum of its proper divisors (158192059812384).

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

84851960382816 is a wasteful number, since it uses less digits than its factorization.

84851960382816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19464612 (or 19464604 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 69.

The spelling of 84851960382816 in words is "eighty-four trillion, eight hundred fifty-one billion, nine hundred sixty million, three hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 4129 8258 12387 16516 24774 33032 45419 49548 66064 90838 99096 132128 136257 181676 198192 272514 363352 396384 545028 726704 1090056 1453408 2180112 4360224 19460459 38920918 58381377 77841836 116762754 155683672 214065049 233525508 311367344 428130098 467051016 622734688 642195147 856260196 934102032 1284390294 1712520392 1868204064 2568780588 3425040784 5137561176 6850081568 10275122352 20550244704 80352235211 160704470422 241056705633 321408940844 482113411266 642817881688 883874587321 964226822532 1285635763376 1767749174642 1928453645064 2571271526752 2651623761963 3535498349284 3856907290128 5303247523926 7070996698568 7713814580256 10606495047852 14141993397136 21212990095704 28283986794272 42425980191408 84851960382816