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84316065734884 = 2273210925772
BaseRepresentation
bin10011001010111101011101…
…001001011010000011100100
3102001112112111120222122102011
4103022331131021122003210
542022413300312004014
6455154133232124004
723521430465420254
oct2312753511320344
9361475446878364
1084316065734884
1124958273aa0455
129559027996604
133807c81049b49
1416b6cc29d9964
159b33c37307c4
hex4caf5d25a0e4

84316065734884 has 81 divisors (see below), whose sum is σ = 151249296849777. Its totient is φ = 41127650684928.

The previous prime is 84316065734801. The next prime is 84316065734899. The reversal of 84316065734884 is 48843756061348.

The square root of 84316065734884 is 9182378.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2915972894884 + 81400092840000 = 1707622^2 + 9022200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146128363204 + ... + 146128363780.

Almost surely, 284316065734884 is an apocalyptic number.

84316065734884 is the 9182378-th square number.

It is an amenable number.

84316065734884 is a deficient number, since it is larger than the sum of its proper divisors (66933231114893).

84316065734884 is an frugal number, since it uses more digits than its factorization.

84316065734884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 67.

The spelling of 84316065734884 in words is "eighty-four trillion, three hundred sixteen billion, sixty-five million, seven hundred thirty-four thousand, eight hundred eighty-four".

Divisors: 1 2 4 73 109 146 218 292 436 577 1154 2308 5329 7957 10658 11881 15914 21316 23762 31828 42121 47524 62893 84242 125786 168484 251572 332929 580861 665858 867313 1161722 1331716 1734626 2323444 3074833 3469252 4591189 6149666 6855337 9182378 12299332 13710674 18364756 24303817 27421348 36289261 48607634 63313849 72578522 97215268 126627698 145157044 253255396 335156797 500439601 670313594 1000879202 1340627188 1774178641 2001758404 2649116053 3548357282 3955529449 5298232106 7096714564 7911058898 10596464212 15822117796 36532090873 73064181746 146128363492 193385471869 288753649777 386770943738 577507299554 773541887476 1155014599108 21079016433721 42158032867442 84316065734884