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416382051246 = 23717897279013
BaseRepresentation
bin1100000111100100100…
…11011110001110101110
31110210202101021210120120
412003302103132032232
523310222301114441
6515141104225410
742040223016240
oct6036223361656
91423671253516
10416382051246
1115064a8a3a27
126884560b266
13303595c02a5
141621db86090
15ac6ec09966
hex60f24de3ae

416382051246 has 128 divisors (see below), whose sum is σ = 1020552099840. Its totient is φ = 110545661952.

The previous prime is 416382051223. The next prime is 416382051251. The reversal of 416382051246 is 642150283614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 416382051198 and 416382051207.

It is a congruent 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, 46193436 + ... + 46202448.

It is an arithmetic number, because the mean of its divisors is an integer number (7973063280).

Almost surely, 2416382051246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416382051246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510276049920).

416382051246 is an abundant number, since it is smaller than the sum of its proper divisors (604170048594).

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

416382051246 is a wasteful number, since it uses less digits than its factorization.

416382051246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 416382051246 in words is "four hundred sixteen billion, three hundred eighty-two million, fifty-one thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 89 102 119 178 238 267 357 534 623 714 727 1246 1454 1513 1869 2181 3026 3738 4362 4539 5089 9013 9078 10178 10591 12359 15267 18026 21182 24718 27039 30534 31773 37077 54078 63091 63546 64703 74154 86513 126182 129406 153221 173026 189273 194109 259539 306442 378546 388218 452921 459663 519078 802157 905842 919326 1072547 1099951 1358763 1604314 2145094 2199902 2406471 2717526 3217641 3299853 4812942 5615099 6435282 6552451 6599706 7699657 11230198 13104902 13636669 15399314 16845297 19657353 23098971 27273338 33690594 39314706 40910007 45867157 46197942 81820014 91734314 95456683 111391667 137601471 190913366 222783334 275202942 286370049 334175001 572740098 583168139 668350002 779741669 1166336278 1559483338 1749504417 2339225007 3499008834 4082176973 4678450014 8164353946 9913858363 12246530919 19827716726 24493061838 29741575089 59483150178 69397008541 138794017082 208191025623 416382051246