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18347957362952 = 23741489641521
BaseRepresentation
bin1000010101111111101110…
…11110110010000100001000
32101222001021200210010210122
410022333313132302010020
54401103104041103302
6103004534003002412
73602411326220000
oct412776736620410
971861250703718
1018347957362952
115934363668108
122083b59969408
13a31288395a09
1447608dc47000
1521c4149263a2
hex10aff77b2108

18347957362952 has 80 divisors (see below), whose sum is σ = 40160784776700. Its totient is φ = 7858117048320.

The previous prime is 18347957362951. The next prime is 18347957362957. The reversal of 18347957362952 is 25926375974381.

It can be written as a sum of positive squares in 2 ways, for example, as 17681066272996 + 666891089956 = 4204886^2 + 816634^2 .

It is not an unprimeable number, because it can be changed into a prime (18347957362951) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 28279952 + ... + 28921472.

Almost surely, 218347957362952 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 18347957362952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20080392388350).

18347957362952 is an abundant number, since it is smaller than the sum of its proper divisors (21812827413748).

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

18347957362952 is an equidigital number, since it uses as much as digits as its factorization.

18347957362952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643044 (or 643019 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 71.

The spelling of 18347957362952 in words is "eighteen trillion, three hundred forty-seven billion, nine hundred fifty-seven million, three hundred sixty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 1489 2401 2744 2978 4802 5956 9604 10423 11912 19208 20846 41692 72961 83384 145922 291844 510727 583688 641521 1021454 1283042 2042908 2566084 3575089 4085816 4490647 5132168 7150178 8981294 14300356 17962588 28600712 31434529 35925176 62869058 125738116 220041703 251476232 440083406 880166812 955224769 1540291921 1760333624 1910449538 3080583842 3820899076 6161167684 6686573383 7641798152 12322335368 13373146766 26746293532 46806013681 53492587064 93612027362 187224054724 327642095767 374448109448 655284191534 1310568383068 2293494670369 2621136766136 4586989340738 9173978681476 18347957362952