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35134215312 = 24374714091579
BaseRepresentation
bin100000101110001010…
…011001010010010000
310100200120020001201210
4200232022121102100
51033423324342222
624050200100120
72352441621420
oct405612312220
9110616201653
1035134215312
111399a391a89
126986464640
13340bc87021
1419b4286480
15da9742d0c
hex82e299490

35134215312 has 160 divisors (see below), whose sum is σ = 106078924800. Its totient is φ = 9811574784.

The previous prime is 35134215293. The next prime is 35134215353. The reversal of 35134215312 is 21351243153.

It is a self number, because there is not a number n which added to its sum of digits gives 35134215312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22250139 + ... + 22251717.

It is an arithmetic number, because the mean of its divisors is an integer number (662993280).

Almost surely, 235134215312 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 35134215312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53039462400).

35134215312 is an abundant number, since it is smaller than the sum of its proper divisors (70944709488).

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

35134215312 is a wasteful number, since it uses less digits than its factorization.

35134215312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3047 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

Adding to 35134215312 its reverse (21351243153), we get a palindrome (56485458465).

The spelling of 35134215312 in words is "thirty-five billion, one hundred thirty-four million, two hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1409 1579 1974 2256 2632 2818 3158 3948 4227 4737 5264 5636 6316 7896 8454 9474 9863 11053 11272 12632 15792 16908 18948 19726 22106 22544 25264 29589 33159 33816 37896 39452 44212 59178 66223 66318 67632 74213 75792 78904 88424 118356 132446 132636 148426 157808 176848 198669 222639 236712 264892 265272 296852 397338 445278 463561 473424 519491 529784 530544 593704 794676 890556 927122 1038982 1059568 1187408 1390683 1558473 1589352 1781112 1854244 2077964 2224811 2781366 3116946 3178704 3562224 3708488 4155928 4449622 5562732 6233892 6674433 7416976 8311856 8899244 11125464 12467784 13348866 15573677 17798488 22250928 24935568 26697732 31147354 35596976 46721031 53395464 62294708 93442062 104566117 106790928 124589416 186884124 209132234 249178832 313698351 373768248 418264468 627396702 731962819 747536496 836528936 1254793404 1463925638 1673057872 2195888457 2509586808 2927851276 4391776914 5019173616 5855702552 8783553828 11711405104 17567107656 35134215312