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148517582394841 = 112643217232
BaseRepresentation
bin100001110001001101110001…
…101111011101010111011001
3201110212010211200012212010221
4201301031301233131113121
5123431303002043113331
61243512011354040041
743166020100052232
oct4161156157352731
9643763750185127
10148517582394841
114335aa53464400
12147a7851a19021
1364b41bccb924a
142896409d52089
15122843a94d711
hex871371bdd5d9

148517582394841 has 27 divisors (see below), whose sum is σ = 163595824619157. Its totient is φ = 134727766671960.

The previous prime is 148517582394823. The next prime is 148517582394847. The reversal of 148517582394841 is 148493285715841.

The square root of 148517582394841 is 12186779.

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

It is not a de Polignac number, because 148517582394841 - 25 = 148517582394809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148517582394847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86197087006 + ... + 86197088728.

Almost surely, 2148517582394841 is an apocalyptic number.

148517582394841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

148517582394841 is the 12186779-th square number.

148517582394841 is the 6093390-th centered octagonal number.

It is an amenable number.

148517582394841 is a deficient number, since it is larger than the sum of its proper divisors (15078242224316).

148517582394841 is an frugal number, since it uses more digits than its factorization.

148517582394841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 2377 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 70.

The spelling of 148517582394841 in words is "one hundred forty-eight trillion, five hundred seventeen billion, five hundred eighty-two million, three hundred ninety-four thousand, eight hundred forty-one".

Divisors: 1 11 121 643 1723 7073 18953 77803 208483 413449 1107889 2968729 4547939 12186779 32656019 50027329 134054569 359216209 712372627 1908892747 7836098897 20997820217 86197087867 230976022387 1227418036321 13501598399531 148517582394841