Search a number
-
+
35156101340022 = 231331411021134729
BaseRepresentation
bin1111111111001011010101…
…11011101001101101110110
311121110220001011000120211020
413333211222323221231312
514101444143420340042
6202434253501122010
710255641651554055
oct777455273515566
9147426034016736
1035156101340022
1110224689763833
123b395a3259306
13168028ab41120
148977c895239c
1540e756a7e3ec
hex1ff96aee9b76

35156101340022 has 128 divisors (see below), whose sum is σ = 80080013905920. Its totient is φ = 10211698944000.

The previous prime is 35156101339993. The next prime is 35156101340093. The reversal of 35156101340022 is 22004310165153.

It is a super-2 number, since 2×351561013400222 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1012280754 + ... + 1012315482.

It is an arithmetic number, because the mean of its divisors is an integer number (625625108640).

Almost surely, 235156101340022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35156101340022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40040006952960).

35156101340022 is an abundant number, since it is smaller than the sum of its proper divisors (44923912565898).

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

35156101340022 is a wasteful number, since it uses less digits than its factorization.

35156101340022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45030.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 35156101340022 in words is "thirty-five trillion, one hundred fifty-six billion, one hundred one million, three hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 31 39 41 62 78 82 93 123 186 246 403 533 806 1066 1209 1271 1599 2418 2542 3198 3813 7626 10211 16523 20422 30633 33046 34729 49569 61266 69458 99138 104187 132743 208374 265486 316541 398229 418651 451477 633082 796458 837302 902954 949623 1076599 1255953 1354431 1423889 1899246 2153198 2511906 2708862 2847778 3229797 4115033 4271667 5442463 6459594 8230066 8543334 10884926 12345099 12978181 13995787 16327389 18510557 24690198 25956362 27991574 32654778 37021114 38934543 41987361 44140559 55531671 77869086 83974722 88281118 111063342 132421677 168716353 264843354 337432706 354617819 506149059 573827267 709235638 1012298118 1063853457 1147654534 1721481801 2127706914 3442963602 4610031647 9220063294 10993152389 13830094941 14539330579 21986304778 27660189882 29078661158 32979457167 43617991737 65958914334 87235983474 142910981057 189011297527 285821962114 378022595054 428732943171 450719247949 567033892581 857465886342 901438495898 1134067785162 1352157743847 2704315487694 5859350223337 11718700446674 17578050670011 35156101340022