Search a number
-
+
97246680336 = 243213219992
BaseRepresentation
bin101101010010001011…
…0101001010100010000
3100022000021210012201100
41122210112221110100
53043130122232321
6112401405504400
710011602100321
oct1324426512420
9308007705640
1097246680336
1138273241303
1216a1b872100
13922a277900
1449c750c448
1527e2671326
hex16a45a9510

97246680336 has 135 divisors (see below), whose sum is σ = 294848575749. Its totient is φ = 29907086976.

The previous prime is 97246680331. The next prime is 97246680353. The reversal of 97246680336 is 63308664279.

The square root of 97246680336 is 311844.

It is a perfect power (a square), and thus also a powerful number.

97246680336 is a `hidden beast` number, since 9 + 7 + 246 + 68 + 0 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14385603600 + 82861076736 = 119940^2 + 287856^2 .

It is not an unprimeable number, because it can be changed into a prime (97246680331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48646665 + ... + 48648663.

Almost surely, 297246680336 is an apocalyptic number.

97246680336 is the 311844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97246680336

97246680336 is an abundant number, since it is smaller than the sum of its proper divisors (197601895413).

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

97246680336 is a wasteful number, since it uses less digits than its factorization.

97246680336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 97246680336 in words is "ninety-seven billion, two hundred forty-six million, six hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 1999 2028 2704 3042 3998 4056 5997 6084 7996 8112 11994 12168 15992 17991 23988 24336 25987 31984 35982 47976 51974 71964 77961 95952 103948 143928 155922 207896 233883 287856 311844 337831 415792 467766 623688 675662 935532 1013493 1247376 1351324 1871064 2026986 2702648 3040479 3742128 3996001 4053972 5405296 6080958 7992002 8107944 11988003 12161916 15984004 16215888 23976006 24323832 31968008 35964009 47952012 48647664 51948013 63936016 71928018 95904024 103896026 143856036 155844039 191808048 207792052 287712072 311688078 415584104 467532117 575424144 623376156 675324169 831168208 935064234 1246752312 1350648338 1870128468 2025972507 2493504624 2701296676 3740256936 4051945014 5402593352 6077917521 7480513872 8103890028 10805186704 12155835042 16207780056 24311670084 32415560112 48623340168 97246680336