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84645654648 = 23352355712107
BaseRepresentation
bin100111011010101000…
…1100011000001111000
322002111002201210010020
41032311101203001320
52341323241422043
6102515150050440
76054412123152
oct1166521430170
9262432653106
1084645654648
11329972a1195
12144a37a9a20
137c9c7486a9
14414db5bad2
15230627de83
hex13b5463078

84645654648 has 64 divisors (see below), whose sum is σ = 212416940160. Its totient is φ = 28108388736.

The previous prime is 84645654631. The next prime is 84645654677.

84645654648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84645654591 and 84645654600.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6985411 + ... + 6997517.

It is an arithmetic number, because the mean of its divisors is an integer number (3319014690).

Almost surely, 284645654648 is an apocalyptic number.

It is an amenable number.

84645654648 is an abundant number, since it is smaller than the sum of its proper divisors (127771285512).

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

84645654648 is a wasteful number, since it uses less digits than its factorization.

84645654648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13196 (or 13192 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 60.

The spelling of 84645654648 in words is "eighty-four billion, six hundred forty-five million, six hundred fifty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 523 557 1046 1114 1569 1671 2092 2228 3138 3342 4184 4456 6276 6684 12107 12552 13368 24214 36321 48428 72642 96856 145284 290568 291311 582622 873933 1165244 1747866 2330488 3495732 6331961 6743599 6991464 12663922 13487198 18995883 20230797 25327844 26974396 37991766 40461594 50655688 53948792 75983532 80923188 151967064 161846376 3526902277 7053804554 10580706831 14107609108 21161413662 28215218216 42322827324 84645654648