Search a number
-
+
35005450513145 = 5731741945716477
BaseRepresentation
bin1111111010110010101110…
…11100010110101011111001
311120221111012000220122022112
413331121113130112223321
514042012130312410040
6202241140523102105
710242026460633260
oct775312734265371
9146844160818275
1035005450513145
1110176801251832
123b1435a671935
13166bccc7ab508
148903b69875d7
1540a88ac92365
hex1fd657716af9

35005450513145 has 64 divisors (see below), whose sum is σ = 48382424133120. Its totient is φ = 23817228982272.

The previous prime is 35005450513109. The next prime is 35005450513157. The reversal of 35005450513145 is 54131505450053.

It is a cyclic number.

It is not a de Polignac number, because 35005450513145 - 218 = 35005450251001 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2124495647 + ... + 2124512123.

It is an arithmetic number, because the mean of its divisors is an integer number (755975377080).

Almost surely, 235005450513145 is an apocalyptic number.

35005450513145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35005450513145 is a deficient number, since it is larger than the sum of its proper divisors (13376973619975).

35005450513145 is a wasteful number, since it uses less digits than its factorization.

35005450513145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17682.

The product of its (nonzero) digits is 450000, while the sum is 41.

Adding to 35005450513145 its reverse (54131505450053), we get a palindrome (89136955963198).

The spelling of 35005450513145 in words is "thirty-five trillion, five billion, four hundred fifty million, five hundred thirteen thousand, one hundred forty-five".

Divisors: 1 5 7 35 317 419 457 1585 2095 2219 2285 2933 3199 11095 14665 15995 16477 82385 115339 132823 144869 191483 576695 664115 724345 929761 957415 1014083 1340381 4648805 5070415 5223209 6701905 6903863 7529989 26116045 34519315 36562463 37649945 48327041 52709923 60700111 182812315 241635205 263549615 303500555 424900777 2124503885 2188524571 2387006513 3155065391 10942622855 11935032565 15319671997 15775326955 16709045591 22085457737 76598359985 83545227955 110427288685 1000155728947 5000778644735 7001090102629 35005450513145