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1258013384056 = 2311132946438167
BaseRepresentation
bin10010010011100111011…
…100001101110101111000
311110021011010010100222101
4102103213130031311320
5131102402411242211
62401531240433144
7156613513221352
oct22234734156570
94407133110871
101258013384056
1144557a8391a0
1218398a1787b4
13918265a57b0
1444c612080d2
1522accd215c1
hex124e770dd78

1258013384056 has 128 divisors (see below), whose sum is σ = 2867673715200. Its totient is φ = 509464327680.

The previous prime is 1258013384051. The next prime is 1258013384113. The reversal of 1258013384056 is 6504833108521.

It is a super-2 number, since 2×12580133840562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1258013383997 and 1258013384015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258013384051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154032085 + ... + 154040251.

It is an arithmetic number, because the mean of its divisors is an integer number (22403700900).

Almost surely, 21258013384056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258013384056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433836857600).

1258013384056 is an abundant number, since it is smaller than the sum of its proper divisors (1609660331144).

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

1258013384056 is a wasteful number, since it uses less digits than its factorization.

1258013384056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12869 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 1258013384056 in words is "one trillion, two hundred fifty-eight billion, thirteen million, three hundred eighty-four thousand, fifty-six".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 232 286 319 377 572 638 754 1144 1276 1508 2552 3016 4147 4643 8167 8294 9286 16334 16588 18572 32668 33176 37144 51073 60359 65336 89837 102146 106171 120718 134647 179674 204292 212342 236843 241436 269294 359348 408584 424684 473686 482872 538588 663949 718696 849368 947372 1077176 1167881 1327898 1481117 1750411 1894744 2335762 2605273 2655796 2962234 3078959 3500822 4671524 5210546 5311592 5924468 6157918 7001644 9343048 10421092 11848936 12315836 14003288 19254521 20842184 24631672 33868549 37919381 38509042 67737098 75838762 77018084 135474196 151677524 154036168 270948392 303355048 417113191 492951953 834226382 985903906 1099662049 1668452764 1971807812 2199324098 3336905528 3943615624 4398648196 5422471483 8797296392 10844942966 12096282539 14295606637 21689885932 24192565078 28591213274 43379771864 48385130156 57182426548 96770260312 114364853096 157251673007 314503346014 629006692028 1258013384056