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85556584828 = 2211131729330029
BaseRepresentation
bin100111110101110010…
…0011110000101111100
322011211120210211102001
41033223210132011330
52400204441203303
6103145410312044
76116112654241
oct1175344360574
9264746724361
1085556584828
1133314509550
12146b8888624
1380b639b130
1441d8b215c8
15235b21931d
hex13eb91e17c

85556584828 has 96 divisors (see below), whose sum is σ = 186888461760. Its totient is φ = 33669795840.

The previous prime is 85556584801. The next prime is 85556584829. The reversal of 85556584828 is 82848565558.

It is a self number, because there is not a number n which added to its sum of digits gives 85556584828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85556584829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2834118 + ... + 2864146.

It is an arithmetic number, because the mean of its divisors is an integer number (1946754810).

Almost surely, 285556584828 is an apocalyptic number.

It is an amenable number.

85556584828 is an abundant number, since it is smaller than the sum of its proper divisors (101331876932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85556584828 is a wasteful number, since it uses less digits than its factorization.

85556584828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30367 (or 30365 counting only the distinct ones).

The product of its digits is 122880000, while the sum is 64.

The spelling of 85556584828 in words is "eighty-five billion, five hundred fifty-six million, five hundred eighty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 143 187 221 286 293 374 442 572 586 748 884 1172 2431 3223 3809 4862 4981 6446 7618 9724 9962 12892 15236 19924 30029 41899 54791 60058 64753 83798 109582 120116 129506 167596 219164 259012 330319 390377 510493 660638 712283 780754 1020986 1321276 1424566 1561508 2041972 2849132 4294147 5615423 6636409 8588294 8798497 11230846 13272818 17176588 17596994 22461692 26545636 35193988 73000499 96783467 114380461 146000998 149574449 193566934 228760922 292001996 299148898 387133868 457521844 598297796 1258185071 1645318939 1944467837 2516370142 3290637878 3888935674 5032740284 6581275756 7777871348 21389146207 42778292414 85556584828