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79946221266 = 2341759348953
BaseRepresentation
bin100101001110100101…
…0101000011011010010
321122100120220211110000
41022131022220123102
52302212213040031
6100420552550430
75530066445202
oct1123512503322
9248316824400
1079946221266
11309a561534a
12135b19b2416
137700c55792
143c2597a402
15212d8e93e6
hex129d2a86d2

79946221266 has 80 divisors (see below), whose sum is σ = 190000068984. Its totient is φ = 25038360576.

The previous prime is 79946221231. The next prime is 79946221273. The reversal of 79946221266 is 66212264997.

79946221266 is a `hidden beast` number, since 7 + 9 + 9 + 4 + 622 + 1 + 2 + 6 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76685240241 + 3260981025 = 276921^2 + 57105^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1608646 + ... + 1657598.

Almost surely, 279946221266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79946221266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95000034492).

79946221266 is an abundant number, since it is smaller than the sum of its proper divisors (110053847718).

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

79946221266 is a wasteful number, since it uses less digits than its factorization.

79946221266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49577 (or 49568 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 79946221266 in words is "seventy-nine billion, nine hundred forty-six million, two hundred twenty-one thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 593 918 1186 1377 1779 2754 3558 5337 10081 10674 16011 20162 30243 32022 48033 48953 60486 90729 96066 97906 146859 181458 272187 293718 440577 544374 816561 832201 881154 1321731 1633122 1664402 2496603 2643462 3965193 4993206 7489809 7930386 14979618 22469427 29029129 44938854 58058258 67408281 87087387 134816562 174174774 261262161 493495193 522524322 783786483 986990386 1480485579 1567572966 2351359449 2960971158 4441456737 4702718898 8882913474 13324370211 26648740422 39973110633 79946221266