Search a number
-
+
159654126447984 = 243723160331288541
BaseRepresentation
bin100100010011010001011111…
…011111100110110101110000
3202221021210012120121010100210
4210103101133133212311300
5131411233122332313414
61323320032042344120
745425426041454220
oct4423213737466560
9687253176533323
10159654126447984
1146963a31229423
1215aa6057abb040
136b1141ccbb2cc
142b5d42db44080
15136ce8471ee59
hex91345f7e6d70

159654126447984 has 160 divisors (see below), whose sum is σ = 491884765645824. Its totient is φ = 43629428367360.

The previous prime is 159654126447947. The next prime is 159654126448021. The reversal of 159654126447984 is 489744621456951.

159654126447984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (159654126447947) and next prime (159654126448021).

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, 123258754 + ... + 124547294.

Almost surely, 2159654126447984 is an apocalyptic number.

159654126447984 is a gapful number since it is divisible by the number (14) 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 159654126447984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245942382822912).

159654126447984 is an abundant number, since it is smaller than the sum of its proper divisors (332230639197840).

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

159654126447984 is a wasteful number, since it uses less digits than its factorization.

159654126447984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304615 (or 1304609 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 75.

The spelling of 159654126447984 in words is "one hundred fifty-nine trillion, six hundred fifty-four billion, one hundred twenty-six million, four hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 16033 32066 48099 64132 96198 112231 128264 192396 224462 256528 336693 368759 384792 448924 673386 737518 769584 897848 1106277 1288541 1346772 1475036 1795696 2212554 2577082 2581313 2693544 2950072 3865623 4425108 5154164 5162626 5387088 5900144 7731246 7743939 8850216 9019787 10308328 10325252 15462492 15487878 17700432 18039574 20616656 20650504 27059361 29636443 30924984 30975756 36079148 41301008 54118722 59272886 61849968 61951512 72158296 88909329 108237444 118545772 123903024 144316592 177818658 207455101 216474888 237091544 355637316 414910202 432949776 474183088 622365303 711274632 829820404 1244730606 1422549264 1659640808 2489461212 3319281616 4978922424 9957844848 20659177853 41318355706 61977533559 82636711412 123955067118 144614244971 165273422824 247910134236 289228489942 330546845648 433842734913 475161090619 495820268472 578456979884 867685469826 950322181238 991640536944 1156913959768 1425483271857 1735370939652 1900644362476 2313827919536 2850966543714 3326127634333 3470741879304 3801288724952 5701933087428 6652255268666 6941483758608 7602577449904 9978382902999 11403866174856 13304510537332 19956765805998 22807732349712 26609021074664 39913531611996 53218042149328 79827063223992 159654126447984