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148068236566360 = 235111951473441133
BaseRepresentation
bin100001101010101011010010…
…101001001001111101011000
3201102021011222222202200011001
4201222223102221021331120
5123401422222030110420
61242525335301314344
743121401635405115
oct4152532251117530
9642234888680131
10148068236566360
11431a7428457780
1214734748a059b4
136480a0c2c2b36
14287c7802a790c
15121b8dbd2db0a
hex86aad2a49f58

148068236566360 has 128 divisors (see below), whose sum is σ = 382643089171200. Its totient is φ = 50999227983360.

The previous prime is 148068236566331. The next prime is 148068236566399. The reversal of 148068236566360 is 63665632860841.

It is a junction number, because it is equal to n+sod(n) for n = 148068236566292 and 148068236566301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41308354 + ... + 44749486.

It is an arithmetic number, because the mean of its divisors is an integer number (2989399134150).

Almost surely, 2148068236566360 is an apocalyptic number.

148068236566360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148068236566360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191321544585600).

148068236566360 is an abundant number, since it is smaller than the sum of its proper divisors (234574852604840).

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

148068236566360 is a wasteful number, since it uses less digits than its factorization.

148068236566360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446321 (or 3446317 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 64.

The spelling of 148068236566360 in words is "one hundred forty-eight trillion, sixty-eight billion, two hundred thirty-six million, five hundred sixty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 5147 8360 10294 20588 25735 41176 51470 56617 97793 102940 113234 195586 205880 226468 283085 391172 452936 488965 566170 782344 977930 1075723 1132340 1955860 2151446 2264680 3441133 3911720 4302892 5378615 6882266 8605784 10757230 13764532 17205665 21514460 27529064 34411330 37852463 43028920 65381527 68822660 75704926 130763054 137645320 151409852 189262315 261526108 302819704 326907635 378524630 523052216 653815270 719196797 757049260 1307630540 1438393594 1514098520 2615261080 2876787188 3595983985 5753574376 7191967970 14383935940 17711511551 28767871880 35423023102 70846046204 88557557755 141692092408 177115115510 194826627061 336518719469 354230231020 389653254122 673037438938 708460462040 779306508244 974133135305 1346074877876 1558613016488 1682593597345 1948266270610 2692149755752 3365187194690 3701705914159 3896532541220 6730374389380 7403411828318 7793065082440 13460748778760 14806823656636 18508529570795 29613647313272 37017059141590 74034118283180 148068236566360