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3452412542085 = 3251359295733827
BaseRepresentation
bin110010001111010011110…
…100101011110010000101
3110020001021120021122122100
4302033103310223302011
5423031020102321320
611202003314222313
7504300000262203
oct62172364536205
913201246248570
103452412542085
11111118396a761
12479125b84999
131c073a998550
14bd151d92073
155ec126d4790
hex323d3d2bc85

3452412542085 has 96 divisors (see below), whose sum is σ = 6556142436480. Its totient is φ = 1670227213824.

The previous prime is 3452412542083. The next prime is 3452412542093. The reversal of 3452412542085 is 5802452142543.

3452412542085 is a `hidden beast` number, since 3 + 4 + 5 + 24 + 1 + 2 + 542 + 0 + 85 = 666.

It is not a de Polignac number, because 3452412542085 - 21 = 3452412542083 is a prime.

It is a super-2 number, since 2×34524125420852 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3452412542085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452412542081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102043942 + ... + 102077768.

It is an arithmetic number, because the mean of its divisors is an integer number (68293150380).

Almost surely, 23452412542085 is an apocalyptic number.

It is an amenable number.

3452412542085 is a deficient number, since it is larger than the sum of its proper divisors (3103729894395).

3452412542085 is a wasteful number, since it uses less digits than its factorization.

3452412542085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36867 (or 36864 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 3452412542085 in words is "three trillion, four hundred fifty-two billion, four hundred twelve million, five hundred forty-two thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 59 65 117 177 195 295 531 585 767 885 2301 2655 2957 3835 6903 8871 11505 14785 26613 33827 34515 38441 44355 101481 115323 133065 169135 174463 192205 304443 345969 439751 507405 523389 576615 872315 1319253 1522215 1570167 1729845 1995793 2198755 2268019 2616945 3957759 5987379 6596265 6804057 7850835 9978965 11340095 17962137 19788795 20412171 25945309 29936895 34020285 77835927 89810685 100026439 102060855 129726545 233507781 300079317 389179635 500132195 900237951 1167538905 1300343707 1500396585 3901031121 4501189755 5901559901 6501718535 11703093363 17704679703 19505155605 29507799505 53114039109 58515466815 76720278713 88523398515 230160836139 265570195545 383601393565 690482508417 1150804180695 3452412542085