Search a number
-
+
85043546448 = 243731531271213
BaseRepresentation
bin100111100110011111…
…1011000100101010000
322010111211102210001120
41033030333120211100
52343132121441243
6103022442202240
76100313134440
oct1171477304520
9263454383046
1085043546448
1133080957193
1214594ab3380
138033ccc523
14418a934120
15232b177c83
hex13ccfd8950

85043546448 has 320 divisors, whose sum is σ = 266369236992. Its totient is φ = 22870149120.

The previous prime is 85043546447. The next prime is 85043546461. The reversal of 85043546448 is 84464534058.

It is a self number, because there is not a number n which added to its sum of digits gives 85043546448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85043546443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70109490 + ... + 70110702.

Almost surely, 285043546448 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 85043546448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133184618496).

85043546448 is an abundant number, since it is smaller than the sum of its proper divisors (181325690544).

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

85043546448 is a wasteful number, since it uses less digits than its factorization.

85043546448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 51.

The spelling of 85043546448 in words is "eighty-five billion, forty-three million, five hundred forty-six thousand, four hundred forty-eight".