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2135287168 = 27729372221
BaseRepresentation
bin111111101000101…
…1110010110000000
312111210220211022221
41333101132112000
513333113142133
6551514340424
7103625433010
oct17721362600
95453824287
102135287168
119a634a943
124b712a714
132804c4541
14163833c40
15c76d7a2d
hex7f45e580

2135287168 has 128 divisors (see below), whose sum is σ = 5167483200. Its totient is φ = 859299840.

The previous prime is 2135287153. The next prime is 2135287171. The reversal of 2135287168 is 8617825312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960298 + ... + 962518.

Almost surely, 22135287168 is an apocalyptic number.

2135287168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583741600).

2135287168 is an abundant number, since it is smaller than the sum of its proper divisors (3032196032).

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

2135287168 is a wasteful number, since it uses less digits than its factorization.

2135287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2296 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 2135287168 is about 46209.1675752767. The cubic root of 2135287168 is about 1287.7120609383.

The spelling of 2135287168 in words is "two billion, one hundred thirty-five million, two hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 37 56 58 64 74 112 116 128 148 203 224 232 259 296 406 448 464 518 592 812 896 928 1036 1073 1184 1624 1856 2072 2146 2221 2368 3248 3712 4144 4292 4442 4736 6496 7511 8288 8584 8884 12992 15022 15547 16576 17168 17768 25984 30044 31094 33152 34336 35536 60088 62188 64409 68672 71072 82177 120176 124376 128818 137344 142144 164354 240352 248752 257636 284288 328708 450863 480704 497504 515272 575239 657416 901726 961408 995008 1030544 1150478 1314832 1803452 1990016 2061088 2300956 2383133 2629664 3606904 4122176 4601912 4766266 5259328 7213808 8244352 9203824 9532532 10518656 14427616 16681931 18407648 19065064 28855232 33363862 36815296 38130128 57710464 66727724 73630592 76260256 133455448 152520512 266910896 305041024 533821792 1067643584 2135287168