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93241065316 = 227217212832
BaseRepresentation
bin101011011010110011…
…0011011111101100100
322220200010111212220111
41112311212123331210
53011424203042231
6110500115342404
76510412656400
oct1266546337544
9286603455814
1093241065316
11365a8172473
12160a22b1a04
138a3c43b4c9
144727536100
15265ab8c4b1
hex15b599bf64

93241065316 has 81 divisors (see below), whose sum is σ = 201791660889. Its totient is φ = 37580527488.

The previous prime is 93241065289. The next prime is 93241065319. The reversal of 93241065316 is 61356014239.

The square root of 93241065316 is 305354.

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

It can be written as a sum of positive squares in only one way, i.e., 72592524900 + 20648540416 = 269430^2 + 143696^2 .

It is a super-2 number, since 2×932410653162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (93241065319) 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, 72673611 + ... + 72674893.

Almost surely, 293241065316 is an apocalyptic number.

93241065316 is the 305354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93241065316

93241065316 is an abundant number, since it is smaller than the sum of its proper divisors (108550595573).

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

93241065316 is a wasteful number, since it uses less digits than its factorization.

93241065316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 93241065316 in words is "ninety-three billion, two hundred forty-one million, sixty-five thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1283 1666 2023 2566 3332 4046 5132 8092 8981 14161 17962 21811 28322 35924 43622 56644 62867 87244 125734 152677 251468 305354 370787 610708 741574 1068739 1483148 1646089 2137478 2595509 3292178 4274956 5191018 6584356 10382036 11522623 18168563 23045246 27983513 36337126 46090492 55967026 72674252 80658361 111934052 161316722 195884591 322633444 391769182 475719721 783538364 951439442 1371192137 1902878884 2742384274 3330038047 5484768548 6660076094 13320152188 23310266329 46620532658 93241065316