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95390101268 = 227117321120107
BaseRepresentation
bin101100011010110110…
…0010110111100010100
3100010012220022020000122
41120311230112330110
53030324331220033
6111453244531112
76614566324340
oct1306554267424
9303186266018
1095390101268
1137500252a40
12165a1b50a98
138cc2737a07
14488cb08620
15273468da98
hex1635b16f14

95390101268 has 96 divisors (see below), whose sum is σ = 211985292288. Its totient is φ = 36480326400.

The previous prime is 95390101223. The next prime is 95390101343. The reversal of 95390101268 is 86210109359.

It is a happy number.

It is a super-3 number, since 3×953901012683 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4734071 + ... + 4754177.

It is an arithmetic number, because the mean of its divisors is an integer number (2208180128).

Almost surely, 295390101268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95390101268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105992646144).

95390101268 is an abundant number, since it is smaller than the sum of its proper divisors (116595191020).

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

95390101268 is a wasteful number, since it uses less digits than its factorization.

95390101268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20413 (or 20411 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 95390101268 in words is "ninety-five billion, three hundred ninety million, one hundred one thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 146 154 211 292 308 422 511 803 844 1022 1477 1606 2044 2321 2954 3212 4642 5621 5908 9284 11242 15403 16247 20107 22484 30806 32494 40214 61612 64988 80428 107821 140749 169433 215642 221177 281498 338866 431284 442354 562996 677732 884708 1186031 1467811 1548239 2372062 2935622 3096478 4242577 4744124 5871244 6192956 8485154 10274677 16145921 16970308 20549354 29698039 32291842 41098708 46668347 59396078 64583684 93336694 113021447 118792156 186673388 226042894 309708121 326678429 452085788 619416242 653356858 1238832484 1306713716 2167956847 3406789331 4335913694 6813578662 8671827388 13627157324 23847525317 47695050634 95390101268