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84651015648 = 2536114455433
BaseRepresentation
bin100111011010110010…
…1111111110111100000
322002111110211011000210
41032311211333313200
52341331130000043
6102515501014120
76054505521663
oct1166545776740
9262443734023
1084651015648
113299a322a71
12144a5554340
137ca08a4894
1441507556da
15230698c633
hex13b597fde0

84651015648 has 48 divisors (see below), whose sum is σ = 225851700816. Its totient is φ = 27754429440.

The previous prime is 84651015611. The next prime is 84651015667.

84651015648 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×846510156483 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 84651015597 and 84651015606.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 7221861 + ... + 7233572.

It is an arithmetic number, because the mean of its divisors is an integer number (4705243767).

Almost surely, 284651015648 is an apocalyptic number.

It is an amenable number.

84651015648 is an abundant number, since it is smaller than the sum of its proper divisors (141200685168).

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

84651015648 is a wasteful number, since it uses less digits than its factorization.

84651015648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455507 (or 14455499 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 84651015648 in words is "eighty-four billion, six hundred fifty-one million, fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 14455433 28910866 43366299 57821732 86732598 115643464 173465196 231286928 346930392 462573856 693860784 881781413 1387721568 1763562826 2645344239 3527125652 5290688478 7054251304 10581376956 14108502608 21162753912 28217005216 42325507824 84651015648