Search a number
-
+
238062138424758 = 233192267691714797
BaseRepresentation
bin110110001000010000101001…
…001100011111110110110110
31011012220111222202010020222000
4312020100221030133312312
5222200402224414043013
62202152123034520130
7101100264500642424
oct6610205114376666
91135814882106860
10238062138424758
116994364996788a
122284a054596046
13a2ab217aa1b4b
1442b03aa112114
151c7c821138973
hexd8842931fdb6

238062138424758 has 128 divisors (see below), whose sum is σ = 557234340364800. Its totient is φ = 75128414385024.

The previous prime is 238062138424741. The next prime is 238062138424763. The reversal of 238062138424758 is 857424831260832.

It is a happy number.

238062138424758 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 6 + 2 + 1 + 384 + 247 + 5 + 8 = 666.

238062138424758 is digitally balanced in base 2 and base 4, because in such bases 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 = 238062138424695 and 238062138424704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16088533416 + ... + 16088548212.

It is an arithmetic number, because the mean of its divisors is an integer number (4353393284100).

Almost surely, 2238062138424758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238062138424758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278617170182400).

238062138424758 is an abundant number, since it is smaller than the sum of its proper divisors (319172201940042).

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

238062138424758 is a wasteful number, since it uses less digits than its factorization.

238062138424758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24011 (or 24005 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 238062138424758 in words is "two hundred thirty-eight trillion, sixty-two billion, one hundred thirty-eight million, four hundred twenty-four thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2267 4534 6801 6917 13602 13834 14797 20403 20751 29594 40806 41502 43073 44391 61209 62253 86146 88782 122418 124506 129219 131423 133173 186759 258438 262846 266346 281143 373518 387657 394269 399519 562286 775314 788538 799038 843429 1162971 1182807 1686858 2325942 2365614 2530287 3548421 5060574 7096842 7590861 15181722 15680839 31361678 33544799 47042517 67089598 94085034 100634397 102350849 141127551 201268794 204701698 282255102 297935941 301903191 307052547 423382653 595871882 603806382 614105094 637351181 846765306 893807823 905709573 921157641 1274702362 1787615646 1811419146 1842315282 1912053543 1944666131 2681423469 2763472923 3824107086 3889332262 5362846938 5526945846 5736160629 5833998393 8044270407 11472321258 11667996786 16088540814 17208481887 17501995179 34416963774 35003990358 52505985537 105011971074 232029374683 464058749366 696088124049 1392176248098 2088264372147 4176528744294 4408558118977 6264793116441 8817116237954 12529586232882 13225674356931 26451348713862 39677023070793 79354046141586 119031069212379 238062138424758