Search a number
-
+
85244684928 = 2731356930011
BaseRepresentation
bin100111101100011111…
…0101010101010000000
322011000211220200011220
41033120332222222000
52344040114404203
6103054425235040
76105304603134
oct1173076525200
9264024820156
1085244684928
1133174447537
1214630332a80
138066894a90
1441a95313c4
15233db59653
hex13d8faaa80

85244684928 has 128 divisors (see below), whose sum is σ = 244285675200. Its totient is φ = 26182164480.

The previous prime is 85244684807. The next prime is 85244684929. The reversal of 85244684928 is 82948644258.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (85244684929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2825443 + ... + 2855453.

Almost surely, 285244684928 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 85244684928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122142837600).

85244684928 is an abundant number, since it is smaller than the sum of its proper divisors (159040990272).

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

85244684928 is a wasteful number, since it uses less digits than its factorization.

85244684928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30610 (or 30598 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 60.

The spelling of 85244684928 in words is "eighty-five billion, two hundred forty-four million, six hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 569 624 832 1138 1248 1664 1707 2276 2496 3414 4552 4992 6828 7397 9104 13656 14794 18208 22191 27312 29588 30011 36416 44382 54624 59176 60022 72832 88764 90033 109248 118352 120044 177528 180066 218496 236704 240088 355056 360132 390143 473408 480176 710112 720264 780286 946816 960352 1170429 1420224 1440528 1560572 1920704 2340858 2840448 2881056 3121144 3841408 4681716 5762112 6242288 9363432 11524224 12484576 17076259 18726864 24969152 34152518 37453728 49938304 51228777 68305036 74907456 102457554 136610072 149814912 204915108 221991367 273220144 409830216 443982734 546440288 665974101 819660432 887965468 1092880576 1331948202 1639320864 1775930936 2185761152 2663896404 3278641728 3551861872 5327792808 6557283456 7103723744 10655585616 14207447488 21311171232 28414894976 42622342464 85244684928