Search a number
-
+
2138073168 = 243711578483
BaseRepresentation
bin111111101110000…
…0110100001010000
312112000011101000010
41333130012201100
513334321320133
6552054154520
7103661215320
oct17734064120
95460141003
102138073168
119a7983020
124b8052a40
13280c5b66a
14163d5b280
15c7a88263
hex7f706850

2138073168 has 80 divisors (see below), whose sum is σ = 6886273536. Its totient is φ = 555342720.

The previous prime is 2138073163. The next prime is 2138073181. The reversal of 2138073168 is 8613708312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138073163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285546 + ... + 292937.

Almost surely, 22138073168 is an apocalyptic number.

2138073168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2138073168 is an abundant number, since it is smaller than the sum of its proper divisors (4748200368).

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

2138073168 is a wasteful number, since it uses less digits than its factorization.

2138073168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578512 (or 578506 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2138073168 is about 46239.3032819484. The cubic root of 2138073168 is about 1288.2718617780.

The spelling of 2138073168 in words is "two billion, one hundred thirty-eight million, seventy-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 578483 1156966 1735449 2313932 3470898 4049381 4627864 6363313 6941796 8098762 9255728 12148143 12726626 13883592 16197524 19089939 24296286 25453252 27767184 32395048 38179878 44543191 48592572 50906504 64790096 76359756 89086382 97185144 101813008 133629573 152719512 178172764 194370288 267259146 305439024 356345528 534518292 712691056 1069036584 2138073168