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331545069648 = 24341319678601
BaseRepresentation
bin1001101001100011010…
…00000100100001010000
31011200202221112121020000
410310301220010201100
520413001014212043
6412150521250000
732644665410412
oct4646150044120
91150687477200
10331545069648
11118675603aa1
1254309933900
13253593361b0
14120928629b2
158956c862d3
hex4d31a04850

331545069648 has 100 divisors (see below), whose sum is σ = 1033402105428. Its totient is φ = 102013862400.

The previous prime is 331545069637. The next prime is 331545069749. The reversal of 331545069648 is 846960545133.

331545069648 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 4 + 506 + 96 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191854512144 + 139690557504 = 438012^2 + 373752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 331545069594 and 331545069603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9822453 + ... + 9856148.

Almost surely, 2331545069648 is an apocalyptic number.

It is an amenable number.

331545069648 is an abundant number, since it is smaller than the sum of its proper divisors (701857035780).

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

331545069648 is a wasteful number, since it uses less digits than its factorization.

331545069648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19678634 (or 19678619 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 331545069648 in words is "three hundred thirty-one billion, five hundred forty-five million, sixty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 19678601 39357202 59035803 78714404 118071606 157428808 177107409 236143212 255821813 314857616 354214818 472286424 511643626 531322227 708429636 767465439 944572848 1023287252 1062644454 1416859272 1534930878 1593966681 2046574504 2125288908 2302396317 2833718544 3069861756 3187933362 4093149008 4250577816 4604792634 6139723512 6375866724 6907188951 8501155632 9209585268 12279447024 12751733448 13814377902 18419170536 20721566853 25503466896 27628755804 36838341072 41443133706 55257511608 82886267412 110515023216 165772534824 331545069648