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2051562142242 = 23437438099839
BaseRepresentation
bin11101110110101010101…
…000011111101000100010
321021010102220010001220000
4131312222220133220202
5232103044402022432
64210250304400430
7301135423324254
oct35665250375042
97233386101800
102051562142242
11721076388488
12291734016116
1311b5ccb43402
147142085bcd4
1538574a9457c
hex1ddaaa1fa22

2051562142242 has 160 divisors (see below), whose sum is σ = 4837522694400. Its totient is φ = 649028443392.

The previous prime is 2051562142229. The next prime is 2051562142277. The reversal of 2051562142242 is 2422412651502.

2051562142242 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 5 + 621 + 4 + 2 + 24 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2051562142197 and 2051562142206.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 208508359 + ... + 208518197.

It is an arithmetic number, because the mean of its divisors is an integer number (30234516840).

Almost surely, 22051562142242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051562142242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418761347200).

2051562142242 is an abundant number, since it is smaller than the sum of its proper divisors (2785960552158).

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

2051562142242 is a wasteful number, since it uses less digits than its factorization.

2051562142242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10742 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2051562142242 its reverse (2422412651502), we get a palindrome (4473974793744).

The spelling of 2051562142242 in words is "two trillion, fifty-one billion, five hundred sixty-two million, one hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 43 54 74 81 86 111 129 162 222 258 333 387 666 774 809 999 1161 1591 1618 1998 2322 2427 2997 3182 3483 4773 4854 5994 6966 7281 9546 9839 14319 14562 19678 21843 28638 29517 29933 34787 42957 43686 59034 59866 65529 69574 85914 88551 89799 104361 128871 131058 177102 179598 208722 257742 265653 269397 313083 364043 423077 531306 538794 626166 728086 796959 808191 846154 939249 1092129 1269231 1287119 1593918 1616382 1878498 2184258 2424573 2538462 2574238 2817747 3276387 3807693 3861357 4849146 5635494 6552774 7615386 7722714 7959751 9829161 11423079 11584071 15653849 15919502 19658322 22846158 23168142 23879253 29487483 31307698 34269237 34752213 46961547 47758506 58974966 68538474 69504426 71637759 93923094 104256639 140884641 143275518 208513278 214913277 281769282 294510787 342269293 422653923 429826554 589021574 644739831 684538586 845307846 883532361 1026807879 1267961769 1289479662 1767064722 2053615758 2535923538 2650597083 3080423637 5301194166 6160847274 7951791249 9241270911 12663963841 15903582498 18482541822 23855373747 25327927682 27723812733 37991891523 47710747494 55447625466 75983783046 113975674569 227951349138 341927023707 683854047414 1025781071121 2051562142242