Search a number
-
+
35051102051412 = 223172910331573497
BaseRepresentation
bin1111111100000111110000…
…11111001001110001010100
311121002212000120100001212010
413332003320133021301110
514043234124111121122
6202314130510024220
710245233661413106
oct776037037116124
9147085016301763
1035051102051412
11101940a8367157
123b2117b1a8070
1316733c6691855
148926a7977576
1540bb5d9cde0c
hex1fe0f87c9c54

35051102051412 has 96 divisors (see below), whose sum is σ = 89591765800320. Its totient is φ = 10616190914560.

The previous prime is 35051102051393. The next prime is 35051102051423. The reversal of 35051102051412 is 21415020115053.

It is a self number, because there is not a number n which added to its sum of digits gives 35051102051412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60831448 + ... + 61404944.

It is an arithmetic number, because the mean of its divisors is an integer number (933247560420).

Almost surely, 235051102051412 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 35051102051412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44795882900160).

35051102051412 is an abundant number, since it is smaller than the sum of its proper divisors (54540663748908).

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

35051102051412 is a wasteful number, since it uses less digits than its factorization.

35051102051412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583881 (or 583879 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 35051102051412 its reverse (21415020115053), we get a palindrome (56466122166465).

The spelling of 35051102051412 in words is "thirty-five trillion, fifty-one billion, one hundred two million, fifty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 5916 10331 20662 30993 41324 61986 123972 175627 299599 351254 526881 573497 599198 702508 898797 1053762 1146994 1198396 1720491 1797594 2107524 2293988 3440982 3595188 5093183 6881964 9749449 10186366 15279549 16631413 19498898 20372732 29248347 30559098 33262826 38997796 49894239 58496694 61118196 66525652 99788478 116993388 199576956 282734021 565468042 848202063 1130936084 1696404126 3392808252 5924797507 11849595014 17774392521 23699190028 35548785042 71097570084 100721557619 171819127703 201443115238 302164672857 343638255406 402886230476 515457383109 604329345714 687276510812 1030914766218 1208658691428 2061829532436 2920925170951 5841850341902 8762775512853 11683700683804 17525551025706 35051102051412