Search a number
-
+
67342830558672 = 243191274611261223
BaseRepresentation
bin11110100111111011110010…
…11111100101110111010000
322211102220121122112100010110
433103331321133211313100
532311321104110334142
6355120511432401320
720120234056033614
oct1723757137456720
9284386548470113
1067342830558672
111a503a30254379
1276775a9846240
132b7652b624556
14128b5a6179344
157bbb1cbbb99c
hex3d3f797e5dd0

67342830558672 has 160 divisors (see below), whose sum is σ = 184967681310720. Its totient is φ = 21052923010560.

The previous prime is 67342830558667. The next prime is 67342830558733. The reversal of 67342830558672 is 27685503824376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52764253 + ... + 54025475.

It is an arithmetic number, because the mean of its divisors is an integer number (1156048008192).

Almost surely, 267342830558672 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 67342830558672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92483840655360).

67342830558672 is an abundant number, since it is smaller than the sum of its proper divisors (117624850752048).

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

67342830558672 is a wasteful number, since it uses less digits than its factorization.

67342830558672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261841 (or 1261835 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 66.

The spelling of 67342830558672 in words is "sixty-seven trillion, three hundred forty-two billion, eight hundred thirty million, five hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 127 152 228 254 304 381 456 461 508 762 912 922 1016 1383 1524 1844 2032 2413 2766 3048 3688 4826 5532 6096 7239 7376 8759 9652 11064 14478 17518 19304 22128 26277 28956 35036 38608 52554 57912 58547 70072 105108 115824 117094 140144 175641 210216 234188 351282 420432 468376 702564 936752 1112393 1261223 1405128 2224786 2522446 2810256 3337179 3783669 4449572 5044892 6674358 7567338 8899144 10089784 13348716 15134676 17798288 20179568 23963237 26697432 30269352 47926474 53394864 60538704 71889711 95852948 143779422 160175321 191705896 287558844 320350642 383411792 480525963 575117688 581423803 640701284 961051926 1150235376 1162847606 1281402568 1744271409 1922103852 2325695212 2562805136 3043331099 3488542818 3844207704 4651390424 6086662198 6977085636 7688415408 9129993297 9302780848 11047052257 12173324396 13954171272 18259986594 22094104514 24346648792 27908342544 33141156771 36519973188 44188209028 48693297584 66282313542 73039946376 73840822981 88376418056 132564627084 146079892752 147681645962 176752836112 221522468943 265129254168 295363291924 443044937886 530258508336 590726583848 886089875772 1181453167696 1402975636639 1772179751544 2805951273278 3544359503088 4208926909917 5611902546556 8417853819834 11223805093112 16835707639668 22447610186224 33671415279336 67342830558672