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201869946312 = 233312414192687
BaseRepresentation
bin1011110000000001100…
…0101110110111001000
3201022001122220210121020
42330000120232313020
511301412201240222
6232423205312440
720404345142346
oct2740030566710
9638048823536
10201869946312
117868135a581
1233159a05720
131606185c498
149ab05a4996
1553b76e765c
hex2f0062edc8

201869946312 has 128 divisors (see below), whose sum is σ = 524559974400. Its totient is φ = 64670284800.

The previous prime is 201869946253. The next prime is 201869946319. The reversal of 201869946312 is 213649968102.

It is not an unprimeable number, because it can be changed into a prime (201869946319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 75127033 + ... + 75129719.

It is an arithmetic number, because the mean of its divisors is an integer number (4098124800).

Almost surely, 2201869946312 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 201869946312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262279987200).

201869946312 is an abundant number, since it is smaller than the sum of its proper divisors (322690028088).

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

201869946312 is a wasteful number, since it uses less digits than its factorization.

201869946312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 201869946312 in words is "two hundred one billion, eight hundred sixty-nine million, nine hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 241 248 372 419 482 723 744 838 964 1257 1446 1676 1928 2514 2687 2892 3352 5028 5374 5784 7471 8061 10056 10748 12989 14942 16122 21496 22413 25978 29884 32244 38967 44826 51956 59768 64488 77934 83297 89652 100979 103912 155868 166594 179304 201958 249891 302937 311736 333188 403916 499782 605874 647567 666376 807832 999564 1125853 1211748 1295134 1942701 1999128 2251706 2423496 2590268 3130349 3377559 3885402 4503412 5180536 6260698 6755118 7770804 9006824 9391047 12521396 13510236 15541608 18782094 20074577 25042792 27020472 34901443 37564188 40149154 60223731 69802886 75128376 80298308 104704329 120447462 139605772 160596616 209408658 240894924 271330573 279211544 418817316 481789848 542661146 813991719 837634632 1085322292 1627983438 2170644584 3255966876 6511933752 8411247763 16822495526 25233743289 33644991052 50467486578 67289982104 100934973156 201869946312