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97918816820 = 22511263612
BaseRepresentation
bin101101100110001101…
…0101001001000110100
3100100202010112021122012
41123030122221020310
53101014204114240
6112552220023352
710034343132026
oct1331432511064
9310663467565
1097918816820
113858868a400
1216b88991b58
1393065ac5c6
144a4c8b2016
15283168cb65
hex16cc6a9234

97918816820 has 54 divisors (see below), whose sum is σ = 226058063238. Its totient is φ = 35601244800.

The previous prime is 97918816819. The next prime is 97918816829. The reversal of 97918816820 is 2861881979.

It can be written as a sum of positive squares in 3 ways, for example, as 311310736 + 97607506084 = 17644^2 + 312422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 97918816820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97918816829) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 15390440 + ... + 15396800.

Almost surely, 297918816820 is an apocalyptic number.

It is an amenable number.

97918816820 is an abundant number, since it is smaller than the sum of its proper divisors (128139246418).

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

97918816820 is an equidigital number, since it uses as much as digits as its factorization.

97918816820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12753 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 59.

The spelling of 97918816820 in words is "ninety-seven billion, nine hundred eighteen million, eight hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 6361 12722 25444 31805 63610 69971 127220 139942 279884 349855 699710 769681 1399420 1539362 3078724 3848405 7696810 15393620 40462321 80924642 161849284 202311605 404623210 445085531 809246420 890171062 1780342124 2225427655 4450855310 4895940841 8901710620 9791881682 19583763364 24479704205 48959408410 97918816820