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210145219124478 = 2311192348714961157
BaseRepresentation
bin101111110010000000111111…
…001000110001110011111110
31000120001200112122021011222120
4233302000333020301303332
5210021004402043440403
62022535214140223410
762156330301114561
oct5762007710616376
91016050478234876
10210145219124478
1160a600a57a2a20
121b69b67483ab66
1390347bc35a011
1439c71235a24d8
15194655cee0e53
hexbf203f231cfe

210145219124478 has 128 divisors (see below), whose sum is σ = 504648237588480. Its totient is φ = 57587284782720.

The previous prime is 210145219124473. The next prime is 210145219124531. The reversal of 210145219124478 is 874421912541012.

It is a super-2 number, since 2×2101452191244782 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210145219124478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210145219124473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6565476 + ... + 21526632.

It is an arithmetic number, because the mean of its divisors is an integer number (3942564356160).

Almost surely, 2210145219124478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210145219124478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252324118794240).

210145219124478 is an abundant number, since it is smaller than the sum of its proper divisors (294503018464002).

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

210145219124478 is a wasteful number, since it uses less digits than its factorization.

210145219124478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14961702.

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 210145219124478 in words is "two hundred ten trillion, one hundred forty-five billion, two hundred nineteen million, one hundred twenty-four thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 487 506 627 759 874 974 1254 1311 1461 1518 2622 2922 4807 5357 9253 9614 10714 11201 14421 16071 18506 22402 27759 28842 32142 33603 55518 67206 101783 123211 203566 212819 246422 305349 369633 425638 610698 638457 739266 1276914 2341009 4682018 7023027 14046054 14961157 29922314 44883471 89766942 164572727 284261983 329145454 344106611 493718181 568523966 688213222 852785949 987436362 1032319833 1705571898 2064639666 3126881813 3785172721 6253763626 6538025609 7286083459 7570345442 9380645439 11355518163 13076051218 14572166918 18761290878 19614076827 21858250377 22711036326 39228153654 43716500754 71918281699 80146918049 138435585721 143836563398 160293836098 167579919557 215754845097 240440754147 276871171442 335159839114 415306757163 431509690194 480881508294 502739758671 830613514326 1005479517342 1522791442931 1843379115127 3045582885862 3184018471583 3686758230254 4568374328793 5530137345381 6368036943166 9136748657586 9552055414749 11060274690762 19104110829498 35024203187413 70048406374826 105072609562239 210145219124478