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5742445346605 = 511261732131517
BaseRepresentation
bin101001110010000010001…
…1010100011111100101101
3202022222020220000112120101
41103210010122203330231
51223041012002042410
620114013140551101
71131610102036642
oct123440432437455
922288226015511
105742445346605
1119143a2769300
12788b113b2491
133286830b86c6
1415bd15d1ddc9
159e592ce2d3a
hex539046a3f2d

5742445346605 has 48 divisors (see below), whose sum is σ = 7803964858032. Its totient is φ = 4051585612800.

The previous prime is 5742445346581. The next prime is 5742445346611. The reversal of 5742445346605 is 5066435442475.

It can be written as a sum of positive squares in 8 ways, for example, as 1494254425609 + 4248190920996 = 1222397^2 + 2061114^2 .

It is not a de Polignac number, because 5742445346605 - 215 = 5742445313837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1628307 + ... + 3759823.

It is an arithmetic number, because the mean of its divisors is an integer number (162582601209).

Almost surely, 25742445346605 is an apocalyptic number.

5742445346605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5742445346605 is a deficient number, since it is larger than the sum of its proper divisors (2061519511427).

5742445346605 is a wasteful number, since it uses less digits than its factorization.

5742445346605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131678 (or 2131667 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 55.

The spelling of 5742445346605 in words is "five trillion, seven hundred forty-two billion, four hundred forty-five million, three hundred forty-six thousand, six hundred five".

Divisors: 1 5 11 55 61 73 121 305 365 605 671 803 3355 4015 4453 7381 8833 22265 36905 44165 48983 244915 538813 2131517 2694065 10657585 23446687 117233435 130022537 155600741 257913557 650112685 778003705 1289567785 1430247907 1711608151 7151239535 8558040755 9491645201 15732726977 18827689661 47458226005 78663634885 94138448305 104408097211 522040486055 1148489069321 5742445346605