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442212536010 = 235741137374893
BaseRepresentation
bin1100110111101011110…
…10111100111011001010
31120021102112220101022110
412123311322330323022
524221122402123020
6535052153203150
743643303352060
oct6336572747312
91507375811273
10442212536010
111605a54a24a3
12718541004b6
1332914bc11bb
1417590552030
15b7827768e0
hex66f5ebceca

442212536010 has 128 divisors (see below), whose sum is σ = 1251582119424. Its totient is φ = 97891799040.

The previous prime is 442212535997. The next prime is 442212536021. The reversal of 442212536010 is 10635212244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992124 + ... + 1367016.

It is an arithmetic number, because the mean of its divisors is an integer number (9777985308).

Almost surely, 2442212536010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442212536010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625791059712).

442212536010 is an abundant number, since it is smaller than the sum of its proper divisors (809369583414).

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

442212536010 is a wasteful number, since it uses less digits than its factorization.

442212536010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375088.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 442212536010 its reverse (10635212244), we get a palindrome (452847748254).

The spelling of 442212536010 in words is "four hundred forty-two billion, two hundred twelve million, five hundred thirty-six thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 137 205 210 246 274 287 410 411 574 615 685 822 861 959 1230 1370 1435 1722 1918 2055 2870 2877 4110 4305 4795 5617 5754 8610 9590 11234 14385 16851 28085 28770 33702 39319 56170 78638 84255 117957 168510 196595 235914 374893 393190 589785 749786 1124679 1179570 1874465 2249358 2624251 3748930 5248502 5623395 7872753 11246790 13121255 15370613 15745506 26242510 30741226 39363765 46111839 51360341 76853065 78727530 92223678 102720682 107594291 153706130 154081023 215188582 230559195 256801705 308162046 322782873 359522387 461118390 513603410 537971455 645565746 719044774 770405115 1075942910 1078567161 1540810230 1613914365 1797611935 2105773981 2157134322 3227828730 3595223870 4211547962 5392835805 6317321943 10528869905 10785671610 12634643886 14740417867 21057739810 29480835734 31586609715 44221253601 63173219430 73702089335 88442507202 147404178670 221106268005 442212536010