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2135064996 = 223241235281
BaseRepresentation
bin111111101000010…
…1000000110100100
312111210111112120100
41333100220012210
513333034034441
6551505504100
7103623516201
oct17720500644
95453445510
102135064996
119a6208a29
124b7042030
1328044738c
141637b6ca8
15c7691cb6
hex7f4281a4

2135064996 has 54 divisors (see below), whose sum is σ = 5531970626. Its totient is φ = 694310400.

The previous prime is 2135064989. The next prime is 2135065001. The reversal of 2135064996 is 6994605312.

2135064996 is a `hidden beast` number, since 2 + 13 + 506 + 49 + 96 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 237591396 + 1897473600 = 15414^2 + 43560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42876 + ... + 78156.

Almost surely, 22135064996 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 2135064996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765985313).

2135064996 is an abundant number, since it is smaller than the sum of its proper divisors (3396905630).

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

2135064996 is a wasteful number, since it uses less digits than its factorization.

2135064996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35373 (or 35327 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2135064996 is about 46206.7635308945. The cubic root of 2135064996 is about 1287.6673981733.

The spelling of 2135064996 in words is "two billion, one hundred thirty-five million, sixty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 6724 10086 15129 20172 30258 35281 60516 70562 105843 141124 211686 317529 423372 635058 1270116 1446521 2893042 4339563 5786084 8679126 13018689 17358252 26037378 52074756 59307361 118614722 177922083 237229444 355844166 533766249 711688332 1067532498 2135064996