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445342310504 = 237133121193523
BaseRepresentation
bin1100111101100000111…
…10000110000001101000
31120120111200010101210022
412132300132012001220
524244030112414004
6540330515140012
744113666116050
oct6366036060150
91516450111708
10445342310504
11161961140393
12723882a4608
1332cc3442680
14177aa09a560
15b8b74022be
hex67b0786068

445342310504 has 128 divisors (see below), whose sum is σ = 1065904250880. Its totient is φ = 169686316800.

The previous prime is 445342310503. The next prime is 445342310509. The reversal of 445342310504 is 405013243544.

It is a super-4 number, since 4×4453423105044 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (445342310503) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4715087 + ... + 4808609.

It is an arithmetic number, because the mean of its divisors is an integer number (8327376960).

Almost surely, 2445342310504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445342310504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532952125440).

445342310504 is an abundant number, since it is smaller than the sum of its proper divisors (620561940376).

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

445342310504 is a wasteful number, since it uses less digits than its factorization.

445342310504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93791 (or 93787 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 445342310504 in words is "four hundred forty-five billion, three hundred forty-two million, three hundred ten thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 211 217 248 364 403 422 434 728 806 844 868 1477 1612 1688 1736 2743 2821 2954 3224 5486 5642 5908 6541 10972 11284 11816 13082 19201 21944 22568 26164 38402 45787 52328 76804 85033 91574 93523 153608 170066 183148 187046 340132 366296 374092 595231 654661 680264 748184 1190462 1215799 1309322 2380924 2431598 2618644 2899213 4761848 4863196 5237288 5798426 8510593 9726392 11596852 17021186 19733353 20294491 23193704 34042372 37689769 39466706 40588982 68084744 75379538 78933412 81177964 138133471 150759076 157866824 162355928 256533589 263828383 276266942 301518152 513067178 527656766 552533884 611733943 1026134356 1055313532 1105067768 1223467886 1795735123 2052268712 2110627064 2446935772 3591470246 4282137601 4893871544 7182940492 7952541259 8564275202 14365880984 15905082518 17128550404 31810165036 34257100808 55667788813 63620330072 111335577626 222671155252 445342310504