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97661112720 = 24351546726309
BaseRepresentation
bin101101011110100001…
…1100101000110010000
3100100002011121120001220
41122331003211012100
53100002221101340
6112510452325040
710025063522103
oct1327503450620
9310064546056
1097661112720
1138466174506
1216b16613780
1392950a0382
144a2658c73a
152818c35ed0
hex16bd0e5190

97661112720 has 80 divisors (see below), whose sum is σ = 302780531520. Its totient is φ = 26040289792.

The previous prime is 97661112683. The next prime is 97661112737. The reversal of 97661112720 is 2721116679.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3698926 + ... + 3725234.

It is an arithmetic number, because the mean of its divisors is an integer number (3784756644).

Almost surely, 297661112720 is an apocalyptic number.

It is an amenable number.

97661112720 is an abundant number, since it is smaller than the sum of its proper divisors (205119418800).

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

97661112720 is a wasteful number, since it uses less digits than its factorization.

97661112720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41792 (or 41786 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 97661112720 in words is "ninety-seven billion, six hundred sixty-one million, one hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15467 26309 30934 46401 52618 61868 77335 78927 92802 105236 123736 131545 154670 157854 185604 210472 232005 247472 263090 309340 315708 371208 394635 420944 464010 526180 618680 631416 742416 789270 928020 1052360 1237360 1262832 1578540 1856040 2104720 3157080 3712080 6314160 406921303 813842606 1220763909 1627685212 2034606515 2441527818 3255370424 4069213030 4883055636 6103819545 6510740848 8138426060 9766111272 12207639090 16276852120 19532222544 24415278180 32553704240 48830556360 97661112720