Search a number
-
+
2051114448 = 2431943193271
BaseRepresentation
bin111101001000001…
…1000010111010000
312021221112102001210
41322100120113100
513200041130243
6535310300120
7101554120335
oct17220302720
95257472053
102051114448
11962889709
12492ab7640
13268c32ab6
141565a298c
15c010c933
hex7a4185d0

2051114448 has 160 divisors (see below), whose sum is σ = 5758044160. Its totient is φ = 627056640.

The previous prime is 2051114431. The next prime is 2051114449. The reversal of 2051114448 is 8444111502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051114449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7568553 + ... + 7568823.

It is an arithmetic number, because the mean of its divisors is an integer number (35987776).

Almost surely, 22051114448 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 2051114448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879022080).

2051114448 is an abundant number, since it is smaller than the sum of its proper divisors (3706929712).

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

2051114448 is a wasteful number, since it uses less digits than its factorization.

2051114448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2051114448 is about 45289.2310378527. The cubic root of 2051114448 is about 1270.5642496541.

The spelling of 2051114448 in words is "two billion, fifty-one million, one hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 43 48 57 76 86 114 129 152 172 193 228 258 271 304 344 386 456 516 542 579 688 772 813 817 912 1032 1084 1158 1544 1626 1634 2064 2168 2316 2451 3088 3252 3268 3667 4336 4632 4902 5149 6504 6536 7334 8299 9264 9804 10298 11001 11653 13008 13072 14668 15447 16598 19608 20596 22002 23306 24897 29336 30894 33196 34959 39216 41192 44004 46612 49794 52303 58672 61788 66392 69918 82384 88008 93224 99588 104606 123576 132784 139836 156909 157681 176016 186448 199176 209212 221407 247152 279672 313818 315362 398352 418424 442814 473043 559344 627636 630724 664221 836848 885628 946086 993757 1255272 1261448 1328442 1771256 1892172 1987514 2249029 2510544 2522896 2656884 2981271 3542512 3784344 3975028 4498058 5313768 5962542 6747087 7568688 7950056 8996116 10627536 11925084 13494174 15900112 17992232 23850168 26988348 35984464 42731551 47700336 53976696 85463102 107953392 128194653 170926204 256389306 341852408 512778612 683704816 1025557224 2051114448