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97997682320 = 2459971228657
BaseRepresentation
bin101101101000100011…
…1011111011010010000
3100100221121221001202122
41123101013133122100
53101144401313240
6113004114233412
710036321361426
oct1332107373220
9310847831678
1097997682320
11386191561aa
1216bab285868
139319a33495
144a59161116
15283856a4b5
hex16d11df690

97997682320 has 40 divisors (see below), whose sum is σ = 228073327224. Its totient is φ = 39159724032.

The previous prime is 97997682311. The next prime is 97997682347. The reversal of 97997682320 is 2328679979.

It can be written as a sum of positive squares in 4 ways, for example, as 13841993104 + 84155689216 = 117652^2 + 290096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534569 + ... + 694088.

Almost surely, 297997682320 is an apocalyptic number.

It is an amenable number.

97997682320 is an abundant number, since it is smaller than the sum of its proper divisors (130075644904).

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

97997682320 is a wasteful number, since it uses less digits than its factorization.

97997682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229667 (or 1229661 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 62.

The spelling of 97997682320 in words is "ninety-seven billion, nine hundred ninety-seven million, six hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 997 1994 3988 4985 7976 9970 15952 19940 39880 79760 1228657 2457314 4914628 6143285 9829256 12286570 19658512 24573140 49146280 98292560 1224971029 2449942058 4899884116 6124855145 9799768232 12249710290 19599536464 24499420580 48998841160 97997682320