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93296648025 = 32527229092
BaseRepresentation
bin101011011100011101…
…0011101111101011001
322220211000002210001100
41112320322131331121
53012032420214100
6110505422542013
76511656265200
oct1267072357531
9286730083040
1093296648025
1136626586599
12160b8a37909
138a4aacc999
144730a84237
1526609bb400
hex15b8e9df59

93296648025 has 81 divisors (see below), whose sum is σ = 194453902461. Its totient is φ = 42635234880.

The previous prime is 93296648017. The next prime is 93296648033. The reversal of 93296648025 is 52084669239.

It is a happy number.

The square root of 93296648025 is 305445.

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

It is an interprime number because it is at equal distance from previous prime (93296648017) and next prime (93296648033).

It can be written as a sum of positive squares in 4 ways, for example, as 6662967129 + 86633680896 = 81627^2 + 294336^2 .

It is not a de Polignac number, because 93296648025 - 23 = 93296648017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32070271 + ... + 32073179.

Almost surely, 293296648025 is an apocalyptic number.

93296648025 is the 305445-th square number.

93296648025 is the 152723-rd centered octagonal number.

It is an amenable number.

93296648025 is an abundant number, since it is smaller than the sum of its proper divisors (101157254436).

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

93296648025 is an equidigital number, since it uses as much as digits as its factorization.

93296648025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

It can be divided in two parts, 93296 and 648025, that added together give a square (741321 = 8612).

The spelling of 93296648025 in words is "ninety-three billion, two hundred ninety-six million, six hundred forty-eight thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 2909 3675 8727 11025 14545 20363 26181 43635 61089 72725 101815 130905 142541 183267 218175 305445 427623 509075 654525 712705 916335 1282869 1527225 2138115 3563525 4581675 6414345 8462281 10690575 25386843 32071725 42311405 59235967 76160529 126934215 177707901 211557025 296179835 380802645 414651769 533123703 634671075 888539505 1243955307 1480899175 1904013225 2073258845 2665618515 3731865921 4442697525 6219776535 10366294225 13328092575 18659329605 31098882675 93296648025