Search a number
-
+
87528522834129 = 31319219332212207
BaseRepresentation
bin10011111001101101010010…
…100000101110000011010001
3102110220122102020202210222210
4103321231102200232003101
542433031403321143004
6510054014232422333
724302504251263066
oct2371552240560321
9373818366683883
1087528522834129
1125986702304373
1299977452479a9
1339abb9a944850
1417885901bac6d
15a1bc3ed5b089
hex4f9b5282e0d1

87528522834129 has 48 divisors (see below), whose sum is σ = 133332255958272. Its totient is φ = 50764375074816.

The previous prime is 87528522834121. The next prime is 87528522834131. The reversal of 87528522834129 is 92143822582578.

It is not a de Polignac number, because 87528522834129 - 23 = 87528522834121 is a prime.

It is a super-2 number, since 2×875285228341292 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87528522834129.

It is not an unprimeable number, because it can be changed into a prime (87528522834121) 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, 13388857 + ... + 18823350.

It is an arithmetic number, because the mean of its divisors is an integer number (2777755332464).

Almost surely, 287528522834129 is an apocalyptic number.

It is an amenable number.

87528522834129 is a deficient number, since it is larger than the sum of its proper divisors (45803733124143).

87528522834129 is a wasteful number, since it uses less digits than its factorization.

87528522834129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32212454 (or 32212435 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 66.

The spelling of 87528522834129 in words is "eighty-seven trillion, five hundred twenty-eight billion, five hundred twenty-two million, eight hundred thirty-four thousand, one hundred twenty-nine".

Divisors: 1 3 13 19 39 57 193 247 361 579 741 1083 2509 3667 4693 7527 11001 14079 47671 69673 143013 209019 905749 2717247 32212207 96636621 418758691 612031933 1256276073 1836095799 6216955951 7956415129 11628606727 18650867853 23869245387 34885820181 80820427363 118122163069 151171887451 242461282089 354366489207 453515662353 1535588119897 2244321098311 4606764359691 6732963294933 29176174278043 87528522834129