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85039450016 = 2523219326029
BaseRepresentation
bin100111100110010111…
…1110000011110100000
322010111112201122210212
41033030233300132200
52343130044400031
6103022214313252
76100233253463
oct1171457603640
9263445648725
1085039450016
1133079609504
1214593658828
1380331c6ac1
14418a1892da
15232ab1912b
hex13ccbf07a0

85039450016 has 72 divisors (see below), whose sum is σ = 175930678980. Its totient is φ = 40458756096.

The previous prime is 85039450009. The next prime is 85039450031. The reversal of 85039450016 is 61005493058.

It can be written as a sum of positive squares in 2 ways, for example, as 70447776400 + 14591673616 = 265420^2 + 120796^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3254090 + ... + 3280118.

Almost surely, 285039450016 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 85039450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87965339490).

85039450016 is an abundant number, since it is smaller than the sum of its proper divisors (90891228964).

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

85039450016 is a wasteful number, since it uses less digits than its factorization.

85039450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26278 (or 26247 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 85039450016 in words is "eighty-five billion, thirty-nine million, four hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 184 193 368 386 529 736 772 1058 1544 2116 3088 4232 4439 6176 8464 8878 16928 17756 26029 35512 52058 71024 102097 104116 142048 204194 208232 408388 416464 598667 816776 832928 1197334 1633552 2394668 3267104 4789336 5023597 9578672 10047194 13769341 19157344 20094388 27538682 40188776 55077364 80377552 110154728 115542731 160755104 220309456 231085462 440618912 462170924 924341848 1848683696 2657482813 3697367392 5314965626 10629931252 21259862504 42519725008 85039450016