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2042247949056 = 2833742209159
BaseRepresentation
bin11101101101111111011…
…101101010101100000000
321020020101202211000212000
4131231333131222230000
5231430010433332211
64202110141104000
7300355544101140
oct35557735525400
97206352730760
102042247949056
117181267a9267
1228b974858000
1311a777265cb3
1470bb981a920
15381cc003656
hex1db7f76ab00

2042247949056 has 144 divisors (see below), whose sum is σ = 6902041843200. Its totient is φ = 583499400192.

The previous prime is 2042247949013. The next prime is 2042247949127. The reversal of 2042247949056 is 6509497422402.

2042247949056 is a `hidden beast` number, since 2 + 0 + 422 + 47 + 94 + 90 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20422479490562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2042247948993 and 2042247949011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21056196 + ... + 21152963.

Almost surely, 22042247949056 is an apocalyptic number.

It is an amenable number.

2042247949056 is an abundant number, since it is smaller than the sum of its proper divisors (4859793894144).

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

2042247949056 is an equidigital number, since it uses as much as digits as its factorization.

2042247949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42209191 (or 42209171 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2042247949056 in words is "two trillion, forty-two billion, two hundred forty-seven million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 42209159 84418318 126627477 168836636 253254954 295464113 337673272 379882431 506509908 590928226 675346544 759764862 886392339 1013019816 1139647293 1181856452 1350693088 1519529724 1772784678 2026039632 2279294586 2363712904 2659177017 2701386176 3039059448 3545569356 4052079264 4558589172 4727425808 5318354034 5402772352 6078118896 7091138712 7977531051 8104158528 9117178344 9454851616 10636708068 10805544704 12156237792 14182277424 15955062102 16208317056 18234356688 18909703232 21273416136 24312475584 28364554848 31910124204 32416634112 36468713376 37819406464 42546832272 48624951168 56729109696 63820248408 72937426752 75638812928 85093664544 97249902336 113458219392 127640496816 145874853504 170187329088 226916438784 255280993632 291749707008 340374658176 510561987264 680749316352 1021123974528 2042247949056