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97870582160 = 2451394106329
BaseRepresentation
bin101101100100110001…
…0101001000110010000
3100100121202202201010022
41123021202221012100
53100414332112120
6112543334123012
710033216136141
oct1331142510620
9310552681108
1097870582160
1138563434a4a
1216b747b0468
1392c95c18a0
144a46317ac8
15282c311025
hex16c98a9190

97870582160 has 40 divisors (see below), whose sum is σ = 245052883320. Its totient is φ = 36136829952.

The previous prime is 97870582157. The next prime is 97870582189. The reversal of 97870582160 is 6128507879.

It can be written as a sum of positive squares in 4 ways, for example, as 306810256 + 97563771904 = 17516^2 + 312352^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47052125 + ... + 47054204.

It is an arithmetic number, because the mean of its divisors is an integer number (6126322083).

Almost surely, 297870582160 is an apocalyptic number.

It is an amenable number.

97870582160 is an abundant number, since it is smaller than the sum of its proper divisors (147182301160).

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

97870582160 is a wasteful number, since it uses less digits than its factorization.

97870582160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94106355 (or 94106349 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 53.

The spelling of 97870582160 in words is "ninety-seven billion, eight hundred seventy million, five hundred eighty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 94106329 188212658 376425316 470531645 752850632 941063290 1223382277 1505701264 1882126580 2446764554 3764253160 4893529108 6116911385 7528506320 9787058216 12233822770 19574116432 24467645540 48935291080 97870582160