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104017215289 = 132248092
BaseRepresentation
bin110000011011111101…
…0001011111100111001
3100221111010202000122011
41200313322023330321
53201011401342124
6115441305525521
710341433512301
oct1406772137471
9327433660564
10104017215289
1140128008439
12181ab1a38a1
139a68b7ac00
14506a7b6601
152a8bc60994
hex1837e8bf39

104017215289 has 9 divisors (see below), whose sum is σ = 112638566253. Its totient is φ = 96012020832.

The previous prime is 104017215277. The next prime is 104017215307. The reversal of 104017215289 is 982512710401.

The square root of 104017215289 is 322517.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 145082025 + 103872133264 = 12045^2 + 322292^2 .

It is not a de Polignac number, because 104017215289 - 27 = 104017215161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104017215089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4180317 + ... + 4205125.

Almost surely, 2104017215289 is an apocalyptic number.

104017215289 is the 322517-th square number.

104017215289 is the 161259-th centered octagonal number.

It is an amenable number.

104017215289 is a deficient number, since it is larger than the sum of its proper divisors (8621350964).

104017215289 is an frugal number, since it uses more digits than its factorization.

104017215289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49644 (or 24822 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 104017215289 in words is "one hundred four billion, seventeen million, two hundred fifteen thousand, two hundred eighty-nine".

Divisors: 1 13 169 24809 322517 4192721 615486481 8001324253 104017215289