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97445716128 = 2532338353181
BaseRepresentation
bin101101011000000110…
…1111010000010100000
3100022112011022021111100
41122300031322002200
53044032100404003
6112433235514400
710016536630515
oct1326015720240
9308464267440
1097445716128
11383656258a2
1216a76458a00
13925c585077
144a05b1d30c
152804d89ba3
hex16b037a0a0

97445716128 has 36 divisors (see below), whose sum is σ = 277111256058. Its totient is φ = 32481905280.

The previous prime is 97445716087. The next prime is 97445716183. The reversal of 97445716128 is 82161754479.

97445716128 is a `hidden beast` number, since 9 + 7 + 4 + 4 + 571 + 61 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74797874064 + 22647842064 = 273492^2 + 150492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169176303 + ... + 169176878.

Almost surely, 297445716128 is an apocalyptic number.

It is an amenable number.

97445716128 is an abundant number, since it is smaller than the sum of its proper divisors (179665539930).

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

97445716128 is a wasteful number, since it uses less digits than its factorization.

97445716128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338353197 (or 338353186 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 97445716128 in words is "ninety-seven billion, four hundred forty-five million, seven hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 338353181 676706362 1015059543 1353412724 2030119086 2706825448 3045178629 4060238172 5413650896 6090357258 8120476344 10827301792 12180714516 16240952688 24361429032 32481905376 48722858064 97445716128