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642182034681445 = 54179509238132719
BaseRepresentation
bin1001001000000011111010100…
…0000011101110111001100101
310010012210000002011000222110111
42102000332220003232321211
51133133002301334301240
610153450204244453021
7252160056322151026
oct22200765003567145
93105700064028414
10642182034681445
11176689964a21295
12600372200aa171
132174367697b0bb
14b481ac2318c4d
154e399660341ea
hex2480fa80eee65

642182034681445 has 64 divisors (see below), whose sum is σ = 801338033664000. Its totient is φ = 493675986585600.

The previous prime is 642182034681353. The next prime is 642182034681449. The reversal of 642182034681445 is 544186430281246.

It is a de Polignac number, because none of the positive numbers 2k-642182034681445 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 642182034681445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642182034681449) 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 63 ways as a sum of consecutive naturals, for example, 19627173796 + ... + 19627206514.

It is an arithmetic number, because the mean of its divisors is an integer number (12520906776000).

Almost surely, 2642182034681445 is an apocalyptic number.

It is an amenable number.

642182034681445 is a deficient number, since it is larger than the sum of its proper divisors (159155998982555).

642182034681445 is a wasteful number, since it uses less digits than its factorization.

642182034681445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35734.

The product of its (nonzero) digits is 35389440, while the sum is 58.

The spelling of 642182034681445 in words is "six hundred forty-two trillion, one hundred eighty-two billion, thirty-four million, six hundred eighty-one thousand, four hundred forty-five".

Divisors: 1 5 41 79 205 395 509 2381 2545 3239 11905 16195 20869 32719 40211 97621 104345 163595 188099 201055 488105 940495 1211929 1341479 1648651 2584801 6059645 6707395 7712059 8243255 12924005 16653971 38560295 49689089 77903939 83269855 95742391 105976841 248445445 389519695 478711955 529884205 682812811 1315663709 3194061499 3414064055 3925438031 6154411181 6578318545 15970307495 19627190155 30772055905 39653104951 53942212069 198265524755 252330858421 269711060345 1261654292105 1625777302991 3132595291129 8128886514955 15662976455645 128436406936289 642182034681445