Search a number
-
+
85587525224025 = 35211106197777997
BaseRepresentation
bin10011011101011101100110…
…000010011100011001011001
3102020001002100210022220222120
4103131131212002130121121
542204231222424132100
6502010211041411453
724012331442644326
oct2335354602343131
9366032323286876
1085587525224025
11252a85137aa390
129723529039b89
13389ab3b259226
14171c65b8d5b4d
159d64dbc230a0
hex4dd76609c659

85587525224025 has 48 divisors (see below), whose sum is σ = 154514268007488. Its totient is φ = 41457870304000.

The previous prime is 85587525223951. The next prime is 85587525224051. The reversal of 85587525224025 is 52042252578558.

It is not a de Polignac number, because 85587525224025 - 210 = 85587525223001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85587525224025.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48013674 + ... + 49764323.

It is an arithmetic number, because the mean of its divisors is an integer number (3219047250156).

Almost surely, 285587525224025 is an apocalyptic number.

It is an amenable number.

85587525224025 is a deficient number, since it is larger than the sum of its proper divisors (68926742783463).

85587525224025 is a wasteful number, since it uses less digits than its factorization.

85587525224025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97779082 (or 97779077 counting only the distinct ones).

The product of its (nonzero) digits is 89600000, while the sum is 60.

It can be divided in two parts, 85587525 and 224025, that added together give a triangular number (85811550 = T13100).

The spelling of 85587525224025 in words is "eighty-five trillion, five hundred eighty-seven billion, five hundred twenty-five million, two hundred twenty-four thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1061 3183 5305 11671 15915 26525 35013 58355 79575 175065 291775 875325 97777997 293333991 488889985 1075557967 1466669955 2444449925 3226673901 5377789835 7333349775 16133369505 26888949175 80666847525 103742454817 311227364451 518712274085 1141167002987 1556136822255 2593561370425 3423501008961 5705835014935 7780684111275 17117505044805 28529175074675 85587525224025