Search a number
-
+
169338075648 = 2937149105701
BaseRepresentation
bin1001110110110101010…
…1011111101000000000
3121012002110110112121120
42131231111133220000
510233301021410043
6205443130352240
715143232615360
oct2355525375000
9535073415546
10169338075648
11658a7a24655
122899ab8b680
1312c78a89681
1482a5bb09a0
154611699983
hex276d55fa00

169338075648 has 160 divisors (see below), whose sum is σ = 519039100800. Its totient is φ = 48057139200.

The previous prime is 169338075637. The next prime is 169338075671. The reversal of 169338075648 is 846570833961.

169338075648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 169338075591 and 169338075600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549198 + ... + 1654898.

It is an arithmetic number, because the mean of its divisors is an integer number (3243994380).

Almost surely, 2169338075648 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 169338075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259519550400).

169338075648 is an abundant number, since it is smaller than the sum of its proper divisors (349701025152).

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

169338075648 is a wasteful number, since it uses less digits than its factorization.

169338075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105878 (or 105862 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 169338075648 in words is "one hundred sixty-nine billion, three hundred thirty-eight million, seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 149 168 192 224 256 298 336 384 447 448 512 596 672 768 894 896 1043 1192 1344 1536 1788 1792 2086 2384 2688 3129 3576 3584 4172 4768 5376 6258 7152 8344 9536 10752 12516 14304 16688 19072 25032 28608 33376 38144 50064 57216 66752 76288 100128 105701 114432 133504 200256 211402 228864 267008 317103 400512 422804 534016 634206 739907 801024 845608 1268412 1479814 1602048 1691216 2219721 2536824 2959628 3382432 4439442 5073648 5919256 6764864 8878884 10147296 11838512 13529728 15749449 17757768 20294592 23677024 27059456 31498898 35515536 40589184 47248347 47354048 54118912 62997796 71031072 81178368 94496694 94708096 110246143 125995592 142062144 162356736 188993388 189416192 220492286 251991184 284124288 330738429 377986776 378832384 440984572 503982368 568248576 661476858 755973552 881969144 1007964736 1136497152 1322953716 1511947104 1763938288 2015929472 2645907432 3023894208 3527876576 4031858944 5291814864 6047788416 7055753152 8063717888 10583629728 12095576832 14111506304 21167259456 24191153664 28223012608 42334518912 56446025216 84669037824 169338075648