Search a number
-
+
4731642954756 = 2232192190812
BaseRepresentation
bin100010011011010101111…
…1001011100010000000100
3121202100012022222202021100
41010312223321130100010
51110010401044023011
614021404201420100
7665564344341054
oct104665371342004
917670168882240
104731642954756
111564751104543
1264503579a630
13284265b22c33
14125026d65564
1583133022d56
hex44dabe5c404

4731642954756 has 81 divisors (see below), whose sum is σ = 12623837406453. Its totient is φ = 1494124729920.

The previous prime is 4731642954749. The next prime is 4731642954791. The reversal of 4731642954756 is 6574592461374.

The square root of 4731642954756 is 2175234.

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

4731642954756 is a `hidden beast` number, since 4 + 7 + 3 + 1 + 64 + 29 + 547 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 796973994756 + 3934668960000 = 892734^2 + 1983600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4731642954693 and 4731642954702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247967136 + ... + 247986216.

Almost surely, 24731642954756 is an apocalyptic number.

4731642954756 is the 2175234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4731642954756

4731642954756 is an abundant number, since it is smaller than the sum of its proper divisors (7892194451697).

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

4731642954756 is an equidigital number, since it uses as much as digits as its factorization.

4731642954756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38210 (or 19105 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 4731642954756 in words is "four trillion, seven hundred thirty-one billion, six hundred forty-two million, nine hundred fifty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 19081 38162 57243 76324 114486 171729 228972 343458 362539 686916 725078 1087617 1450156 2175234 3262851 4350468 6525702 6888241 13051404 13776482 20664723 27552964 41329446 61994169 82658892 123988338 247976676 364084561 728169122 1092253683 1456338244 2184507366 3276761049 4369014732 6553522098 6917606659 13107044196 13835213318 20752819977 27670426636 41505639954 62258459931 83011279908 124516919862 131434526521 249033839724 262869053042 394303579563 525738106084 788607159126 1182910738689 1577214318252 2365821477378 4731642954756