Search a number
-
+
80068008132 = 223273117957259
BaseRepresentation
bin100101010010001101…
…1001101100011000100
321122200002002020121200
41022210123031203010
52302434402230012
6100441023142500
75533105561020
oct1124433154304
9248602066550
1080068008132
1130a58337652
1213626744a30
137720256b08
143c37bdd380
1521394543dc
hex12a46cd8c4

80068008132 has 144 divisors (see below), whose sum is σ = 240107212800. Its totient is φ = 22014555840.

The previous prime is 80068008107. The next prime is 80068008133. The reversal of 80068008132 is 23180086008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80068008133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369719 + ... + 1426977.

It is an arithmetic number, because the mean of its divisors is an integer number (1667411200).

Almost surely, 280068008132 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 80068008132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120053606400).

80068008132 is an abundant number, since it is smaller than the sum of its proper divisors (160039204668).

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

80068008132 is a wasteful number, since it uses less digits than its factorization.

80068008132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57486 (or 57481 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 80068008132 in words is "eighty billion, sixty-eight million, eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 179 186 217 252 279 358 372 434 537 558 651 716 868 1074 1116 1253 1302 1611 1953 2148 2506 2604 3222 3759 3906 5012 5549 6444 7518 7812 11098 11277 15036 16647 22196 22554 33294 38843 45108 49941 57259 66588 77686 99882 114518 116529 155372 171777 199764 229036 233058 343554 349587 400813 466116 515331 687108 699174 801626 1030662 1202439 1398348 1603252 1775029 2061324 2404878 3550058 3607317 4809756 5325087 7100116 7214634 10249361 10650174 12425203 14429268 15975261 20498722 21300348 24850406 30748083 31950522 37275609 40997444 49700812 61496166 63901044 71745527 74551218 92244249 111826827 122992332 143491054 149102436 184488498 215236581 223653654 286982108 317730191 368976996 430473162 447307308 635460382 645709743 860946324 953190573 1270920764 1291419486 1906381146 2224111337 2582838972 2859571719 3812762292 4448222674 5719143438 6672334011 8896445348 11438286876 13344668022 20017002033 26689336044 40034004066 80068008132