Search a number
-
+
2135993706 = 2337111074801
BaseRepresentation
bin111111101010000…
…1010110101101010
312111212020201112000
41333110022311222
513333303244311
6551541431430
7103634434620
oct17724126552
95455221460
102135993706
119a6792760
124b740b576
132806b1002
14163979510
15c77c7056
hex7f50ad6a

2135993706 has 128 divisors (see below), whose sum is σ = 5974456320. Its totient is φ = 549504000.

The previous prime is 2135993689. The next prime is 2135993707. The reversal of 2135993706 is 6073995312.

2135993706 is a `hidden beast` number, since 21 + 3 + 599 + 37 + 0 + 6 = 666.

It is a super-2 number, since 2×21359937062 = 9124938224143228872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135993707) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442506 + ... + 447306.

It is an arithmetic number, because the mean of its divisors is an integer number (46675440).

Almost surely, 22135993706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135993706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987228160).

2135993706 is an abundant number, since it is smaller than the sum of its proper divisors (3838462614).

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

2135993706 is a wasteful number, since it uses less digits than its factorization.

2135993706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 2135993706 is about 46216.8119411108. The cubic root of 2135993706 is about 1287.8540741825.

The spelling of 2135993706 in words is "two billion, one hundred thirty-five million, nine hundred ninety-three thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 107 126 154 189 198 214 231 297 321 378 462 594 642 693 749 963 1177 1386 1498 1926 2079 2247 2354 2889 3531 4158 4494 4801 5778 6741 7062 8239 9602 10593 13482 14403 16478 20223 21186 24717 28806 31779 33607 40446 43209 49434 52811 63558 67214 74151 86418 100821 105622 129627 148302 158433 201642 222453 259254 302463 316866 369677 444906 475299 513707 604926 739354 907389 950598 1027414 1109031 1425897 1541121 1814778 2218062 2851794 3082242 3327093 3595949 4623363 5650777 6654186 7191898 9246726 9981279 10787847 11301554 13870089 16952331 19962558 21575694 27740178 32363541 33904662 39555439 50856993 64727082 79110878 97090623 101713986 118666317 152570979 194181246 237332634 305141958 355998951 711997902 1067996853 2135993706