Search a number
-
+
85870729216 = 2111936113
BaseRepresentation
bin100111111111001001…
…0110101100000000000
322012122110221000111101
41033332102311200000
52401330401313331
6103240511424144
76126646104136
oct1177622654000
9265573830441
1085870729216
1133465873908
1214785b25054
1381364abc9c
144228737756
152378abe061
hex13fe4b5800

85870729216 has 96 divisors (see below), whose sum is σ = 181266649200. Its totient is φ = 40668954624.

The previous prime is 85870729211. The next prime is 85870729223. The reversal of 85870729216 is 61292707858.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85870729211) 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 7 ways as a sum of consecutive naturals, for example, 14044176 + ... + 14050288.

Almost surely, 285870729216 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 85870729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90633324600).

85870729216 is an abundant number, since it is smaller than the sum of its proper divisors (95395919984).

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

85870729216 is an frugal number, since it uses more digits than its factorization.

85870729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 85870729216 in words is "eighty-five billion, eight hundred seventy million, seven hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2048 2432 2888 4864 5776 6113 6859 9728 11552 12226 13718 19456 23104 24452 27436 38912 46208 48904 54872 92416 97808 109744 116147 184832 195616 219488 232294 369664 391232 438976 464588 739328 782464 877952 929176 1564928 1755904 1858352 2206793 3129856 3511808 3716704 4413586 6259712 7023616 7433408 8827172 12519424 14047232 14866816 17654344 29733632 35308688 41929067 59467264 70617376 83858134 118934528 141234752 167716268 237869056 282469504 335432536 564939008 670865072 1129878016 1341730144 2259756032 2683460288 4519512064 5366920576 10733841152 21467682304 42935364608 85870729216