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681601233360 = 243531237138639
BaseRepresentation
bin10011110101100101001…
…10010111000111010000
32102011022221222012201110
421322302212113013100
542131404403431420
61241042343533320
7100146466614315
oct11726246270720
92364287865643
10681601233360
1124307a143a33
12b0122a5a240
134c37573a588
1424dbd954d0c
1512ae3bd0ee0
hex9eb29971d0

681601233360 has 160 divisors (see below), whose sum is σ = 2182100336640. Its totient is φ = 175818355200.

The previous prime is 681601233331. The next prime is 681601233361. The reversal of 681601233360 is 63332106186.

681601233360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681601233361) 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, 17620921 + ... + 17659559.

It is an arithmetic number, because the mean of its divisors is an integer number (13638127104).

Almost surely, 2681601233360 is an apocalyptic number.

681601233360 is a gapful number since it is divisible by the number (60) 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 681601233360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091050168320).

681601233360 is an abundant number, since it is smaller than the sum of its proper divisors (1500499103280).

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

681601233360 is a wasteful number, since it uses less digits than its factorization.

681601233360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41057 (or 41051 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 681601233360 in words is "six hundred eighty-one billion, six hundred one million, two hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2371 2480 3720 4742 7113 7440 9484 11855 14226 18968 23710 28452 35565 37936 38639 47420 56904 71130 73501 77278 94840 113808 115917 142260 147002 154556 189680 193195 220503 231834 284520 294004 309112 367505 386390 441006 463668 569040 579585 588008 618224 735010 772780 882012 927336 1102515 1159170 1176016 1197809 1470020 1545560 1764024 1854672 2205030 2318340 2395618 2940040 3091120 3528048 3593427 4410060 4636680 4791236 5880080 5989045 7186854 8820120 9273360 9582472 11978090 14373708 17640240 17967135 19164944 23956180 28747416 35934270 47912360 57494832 71868540 91613069 95824720 143737080 183226138 274839207 287474160 366452276 458065345 549678414 732904552 916130690 1099356828 1374196035 1465809104 1832261380 2198713656 2748392070 2840005139 3664522760 4397427312 5496784140 5680010278 7329045520 8520015417 10993568280 11360020556 14200025695 17040030834 21987136560 22720041112 28400051390 34080061668 42600077085 45440082224 56800102780 68160123336 85200154170 113600205560 136320246672 170400308340 227200411120 340800616680 681601233360