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84895403112 = 233213877103421
BaseRepresentation
bin100111100010000101…
…0010000110001101000
322010010111200022121100
41033010022100301220
52342331210344422
6103000031041400
76063534006612
oct1170412206150
9263114608540
1084895403112
1133005272983
1214553370260
13800c400750
144174daddb2
15231d1637ac
hex13c4290c68

84895403112 has 96 divisors (see below), whose sum is σ = 247896328680. Its totient is φ = 26091624960.

The previous prime is 84895403111. The next prime is 84895403129. The reversal of 84895403112 is 21130459848.

84895403112 is a `hidden beast` number, since 8 + 48 + 95 + 403 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68594752836 + 16300650276 = 261906^2 + 127674^2 .

It is not an unprimeable number, because it can be changed into a prime (84895403111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769162 + ... + 872582.

Almost surely, 284895403112 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 84895403112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123948164340).

84895403112 is an abundant number, since it is smaller than the sum of its proper divisors (163000925568).

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

84895403112 is a wasteful number, since it uses less digits than its factorization.

84895403112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104323 (or 104316 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 84895403112 in words is "eighty-four billion, eight hundred ninety-five million, four hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 877 936 1754 2631 3508 5262 7016 7893 10524 11401 15786 21048 22802 31572 34203 45604 63144 68406 91208 102609 103421 136812 205218 206842 273624 310263 410436 413684 620526 820872 827368 930789 1241052 1344473 1861578 2482104 2688946 3723156 4033419 5377892 7446312 8066838 10755784 12100257 16133676 24200514 32267352 48401028 90700217 96802056 181400434 272100651 362800868 544201302 725601736 816301953 1088402604 1179102821 1632603906 2176805208 2358205642 3265207812 3537308463 4716411284 6530415624 7074616926 9432822568 10611925389 14149233852 21223850778 28298467704 42447701556 84895403112