Search a number
-
+
46203096965796 = 223489242432
BaseRepresentation
bin10101000000101011111110…
…01011101010001010100100
320001120222021021020102010000
422200111333023222022210
522023442420310401141
6242133224300101300
712506030546221551
oct1240257713521244
9201528237212100
1046203096965796
11137a36947a7991
125222577834830
131ca1c1974b664
14b5a3557d3a28
15551cade735b6
hex2a057f2ea2a4

46203096965796 has 135 divisors (see below), whose sum is σ = 122185191316881. Its totient is φ = 15224398047936.

The previous prime is 46203096965791. The next prime is 46203096965797. The reversal of 46203096965796 is 69756969030264.

It is a happy number.

The square root of 46203096965796 is 6797286.

It is a perfect power (a square), and thus also a powerful number.

46203096965796 is a `hidden beast` number, since 46 + 2 + 0 + 3 + 0 + 9 + 6 + 9 + 6 + 579 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8871974559396 + 37331122406400 = 2978586^2 + 6109920^2 .

It is not an unprimeable number, because it can be changed into a prime (46203096965791) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10889250051 + ... + 10889254293.

Almost surely, 246203096965796 is an apocalyptic number.

46203096965796 is the 6797286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46203096965796

46203096965796 is an abundant number, since it is smaller than the sum of its proper divisors (75982094351085).

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

46203096965796 is an frugal number, since it uses more digits than its factorization.

46203096965796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 46203096965796 in words is "forty-six trillion, two hundred three billion, ninety-six million, nine hundred sixty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 1068 1602 2403 3204 4243 4806 7209 7921 8486 9612 12729 14418 15842 16972 23763 25458 28836 31684 38187 47526 50916 71289 76374 95052 114561 142578 152748 213867 229122 285156 343683 377627 427734 458244 641601 687366 755254 855468 1132881 1283202 1374732 1510508 2265762 2566404 3398643 4531524 6797286 10195929 13594572 18003049 20391858 30587787 33608803 36006098 40783716 54009147 61175574 67217606 72012196 100826409 108018294 122351148 134435212 162027441 201652818 216036588 302479227 324054882 403305636 486082323 604958454 648109764 907437681 972164646 1209916908 1458246969 1602271361 1814875362 1944329292 2722313043 2916493938 3204542722 3629750724 4806814083 5444626086 5832987876 6409085444 9613628166 10889252172 14420442249 19227256332 28840884498 43261326747 57681768996 86522653494 129783980241 142602151129 173045306988 259567960482 285204302258 427806453387 519135920964 570408604516 855612906774 1283419360161 1711225813548 2566838720322 3850258080483 5133677440644 7700516160966 11550774241449 15401032321932 23101548482898 46203096965796