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85467456396 = 22337216150313
BaseRepresentation
bin100111110011001000…
…0011110001110001100
322011121101002122012000
41033212100132032030
52400014132101041
6103132504112300
76113651251500
oct1174620361614
9264541078160
1085467456396
1133279172a93
1214692a65690
1380a0a92b0a
1441cad60300
1523534b0bb6
hex13e641e38c

85467456396 has 72 divisors (see below), whose sum is σ = 257759011440. Its totient is φ = 24419271744.

The previous prime is 85467456379. The next prime is 85467456419. The reversal of 85467456396 is 69365476458.

85467456396 is a `hidden beast` number, since 8 + 5 + 4 + 67 + 4 + 563 + 9 + 6 = 666.

It is a super-2 number, since 2×854674563962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8069865 + ... + 8080448.

It is an arithmetic number, because the mean of its divisors is an integer number (3579986270).

Almost surely, 285467456396 is an apocalyptic number.

It is an amenable number.

85467456396 is an abundant number, since it is smaller than the sum of its proper divisors (172291555044).

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

85467456396 is a wasteful number, since it uses less digits than its factorization.

85467456396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16150340 (or 16150325 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 85467456396 in words is "eighty-five billion, four hundred sixty-seven million, four hundred fifty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 16150313 32300626 48450939 64601252 96901878 113052191 145352817 193803756 226104382 290705634 339156573 436058451 452208764 581411268 678313146 791365337 872116902 1017469719 1356626292 1582730674 1744233804 2034939438 2374096011 3052409157 3165461348 4069878876 4748192022 6104818314 7122288033 9496384044 12209636628 14244576066 21366864099 28489152132 42733728198 85467456396