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85415042724 = 223112239246133
BaseRepresentation
bin100111110001100100…
…0100001111010100100
322011110201110202010220
41033203020201322210
52344412222331344
6103123352444340
76112443612114
oct1174310417244
9264421422126
1085415042724
1133251623900
12146793a96b0
138092c70bcb
1441c3dd9044
15234daaac19
hex13e3221ea4

85415042724 has 72 divisors (see below), whose sum is σ = 219984723840. Its totient is φ = 25774943040.

The previous prime is 85415042723. The next prime is 85415042759. The reversal of 85415042724 is 42724051458.

It is not an unprimeable number, because it can be changed into a prime (85415042723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223962 + ... + 470094.

Almost surely, 285415042724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85415042724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992361920).

85415042724 is an abundant number, since it is smaller than the sum of its proper divisors (134569681116).

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

85415042724 is a wasteful number, since it uses less digits than its factorization.

85415042724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246401 (or 246388 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 85415042724 in words is "eighty-five billion, four hundred fifteen million, forty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 239 242 363 478 484 717 726 956 1434 1452 2629 2868 5258 7887 10516 15774 28919 31548 57838 86757 115676 173514 246133 347028 492266 738399 984532 1476798 2707463 2953596 5414926 8122389 10829852 16244778 29782093 32489556 58825787 59564186 89346279 117651574 119128372 176477361 178692558 235303148 352954722 357385116 647083657 705909444 1294167314 1941250971 2588334628 3882501942 7117920227 7765003884 14235840454 21353760681 28471680908 42707521362 85415042724