Search a number
-
+
238174281728 = 2131913111681
BaseRepresentation
bin1101110111010001001…
…0110010000000000000
3211202202202221010100122
43131310102302000000
512400240104003403
6301225445235412
723131115664005
oct3356422620000
9752682833318
10238174281728
119201119a069
123a1b0102b68
13195c9078566
14b755ddd8ac
1562dea22838
hex37744b2000

238174281728 has 112 divisors (see below), whose sum is σ = 505259583840. Its totient is φ = 111948595200.

The previous prime is 238174281703. The next prime is 238174281767. The reversal of 238174281728 is 827182471832.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 238174281728.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20384048 + ... + 20395728.

Almost surely, 2238174281728 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 238174281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252629791920).

238174281728 is an abundant number, since it is smaller than the sum of its proper divisors (267085302112).

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

238174281728 is a wasteful number, since it uses less digits than its factorization.

238174281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11857 (or 11833 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 53.

The spelling of 238174281728 in words is "two hundred thirty-eight billion, one hundred seventy-four million, two hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 131 152 256 262 304 512 524 608 1024 1048 1216 2048 2096 2432 2489 4096 4192 4864 4978 8192 8384 9728 9956 11681 16768 19456 19912 23362 33536 38912 39824 46724 67072 77824 79648 93448 134144 155648 159296 186896 221939 268288 318592 373792 443878 536576 637184 747584 887756 1073152 1274368 1495168 1530211 1775512 2548736 2990336 3060422 3551024 5097472 5980672 6120844 7102048 10194944 11961344 12241688 14204096 20389888 23922688 24483376 28408192 29074009 47845376 48966752 56816384 58148018 95690752 97933504 113632768 116296036 195867008 227265536 232592072 391734016 454531072 465184144 783468032 909062144 930368288 1566936064 1818124288 1860736576 3133872128 3721473152 6267744256 7442946304 12535488512 14885892608 29771785216 59543570432 119087140864 238174281728