Search a number
-
+
202002004145535 = 351137239138443353
BaseRepresentation
bin101101111011100001000001…
…101100110111010101111111
3222111020012110222122001100220
4231323201001230313111333
5202434100101030124120
61553342234542152423
760356106654631506
oct5573410154672577
9874205428561326
10202002004145535
1159400629182360
121a7a5412582713
138893926abc489
1437c4d4072b83d
151854807e9cb40
hexb7b841b3757f

202002004145535 has 64 divisors (see below), whose sum is σ = 363629775882240. Its totient is φ = 94894611194880.

The previous prime is 202002004145521. The next prime is 202002004145573. The reversal of 202002004145535 is 535541400200202.

It is a happy number.

It is not a de Polignac number, because 202002004145535 - 223 = 202001995756927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 202002004145496 and 202002004145505.

It is a congruent number.

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, 67762582 + ... + 70680771.

It is an arithmetic number, because the mean of its divisors is an integer number (5681715248160).

Almost surely, 2202002004145535 is an apocalyptic number.

202002004145535 is a deficient number, since it is larger than the sum of its proper divisors (161627771736705).

202002004145535 is a wasteful number, since it uses less digits than its factorization.

202002004145535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138443648.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 202002004145535 its reverse (535541400200202), we get a palindrome (737543404345737).

The spelling of 202002004145535 in words is "two hundred two trillion, two billion, four million, one hundred forty-five thousand, five hundred thirty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 239 407 555 717 1195 1221 2035 2629 3585 6105 7887 8843 13145 26529 39435 44215 97273 132645 291819 486365 1459095 138443353 415330059 692216765 1522876883 2076650295 4568630649 5122404061 7614384415 15367212183 22843153245 25612020305 33087961367 56346444671 76836060915 99263884101 165439806835 169039334013 281732223355 363967575037 496319420505 845196670065 1091902725111 1224254570579 1819837875185 3672763711737 5459513625555 6121272852895 13466800276369 18363818558685 40400400829107 67334001381845 202002004145535