Search a number
-
+
87435850503213 = 32232917384192827
BaseRepresentation
bin10011111000010110111110…
…110011110101010000101101
3102110120210012202102122000100
4103320112332303311100231
542430022110212100323
6505543250351021313
724263013612413232
oct2370267663652055
9373523182378010
1087435850503213
1125950377185533
1299817a150a839
1339a321c2a5b94
141783cbc40d789
15a196190b2943
hex4f85becf542d

87435850503213 has 48 divisors (see below), whose sum is σ = 137119807393920. Its totient is φ = 53522389802112.

The previous prime is 87435850503179. The next prime is 87435850503269. The reversal of 87435850503213 is 31230505853478.

87435850503213 is a `hidden beast` number, since 8 + 7 + 4 + 3 + 585 + 0 + 50 + 3 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 87435850503213 - 29 = 87435850502701 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87435850503213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87435850543213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41057895 + ... + 43134932.

It is an arithmetic number, because the mean of its divisors is an integer number (2856662654040).

Almost surely, 287435850503213 is an apocalyptic number.

It is an amenable number.

87435850503213 is a deficient number, since it is larger than the sum of its proper divisors (49683956890707).

87435850503213 is a wasteful number, since it uses less digits than its factorization.

87435850503213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84193058 (or 84193055 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 87435850503213 in words is "eighty-seven trillion, four hundred thirty-five billion, eight hundred fifty million, five hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 23 29 69 87 173 207 261 519 667 1557 2001 3979 5017 6003 11937 15051 35811 45153 115391 346173 1038519 84192827 252578481 757735443 1936435021 2441591983 5809305063 7324775949 14565359071 17427915189 21974327847 43696077213 56156615609 131088231639 168469846827 335003258633 422395413059 505409540481 1005009775899 1267186239177 3015029327697 3801558717531 9715094500357 29145283501071 87435850503213