Search a number
-
+
60941322350232 = 23331593593867163
BaseRepresentation
bin11011101101101000000011…
…10111101110111010011000
321222202221012112110111012120
431312310001313232322120
530441430312010201412
6333340020151141240
715556602531045312
oct1566640167567230
9258687175414176
1060941322350232
1118466084803275
126a02a05674820
13280098534bbbc
14110980bb887b2
1570a354c1db8c
hex376d01deee98

60941322350232 has 128 divisors (see below), whose sum is σ = 160379025408000. Its totient is φ = 19271460424320.

The previous prime is 60941322350231. The next prime is 60941322350257. The reversal of 60941322350232 is 23205322314906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60941322350231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13825083 + ... + 17692245.

It is an arithmetic number, because the mean of its divisors is an integer number (1252961136000).

Almost surely, 260941322350232 is an apocalyptic number.

60941322350232 is a gapful number since it is divisible by the number (62) 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 60941322350232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80189512704000).

60941322350232 is an abundant number, since it is smaller than the sum of its proper divisors (99437703057768).

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

60941322350232 is a wasteful number, since it uses less digits than its factorization.

60941322350232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867621 (or 3867617 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 60941322350232 in words is "sixty trillion, nine hundred forty-one billion, three hundred twenty-two million, three hundred fifty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 59 62 93 118 124 177 186 236 248 354 359 372 472 708 718 744 1077 1416 1436 1829 2154 2872 3658 4308 5487 7316 8616 10974 11129 14632 21181 21948 22258 33387 42362 43896 44516 63543 66774 84724 89032 127086 133548 169448 254172 267096 508344 656611 1313222 1969833 2626444 3867163 3939666 5252888 7734326 7879332 11601489 15468652 15758664 23202978 30937304 46405956 92811912 119882053 228162617 239764106 359646159 456325234 479528212 684487851 719292318 912650468 959056424 1368975702 1388311517 1438584636 1825300936 2737951404 2776623034 2877169272 4164934551 5475902808 5553246068 7073041127 8329869102 11106492136 14146082254 16659738204 21219123381 28292164508 33319476408 42438246762 43037657027 56584329016 81910379503 84876493524 86075314054 129112971081 163820759006 169752987048 172150628108 245731138509 258225942162 327641518012 344301256216 491462277018 516451884324 655283036024 982924554036 1032903768648 1965849108072 2539221764593 5078443529186 7617665293779 10156887058372 15235330587558 20313774116744 30470661175116 60941322350232