Search a number
-
+
49692052449081 = 34721118932
BaseRepresentation
bin10110100110001110101010…
…01000100110011100111001
320111221111212120111211010000
423103013111020212130321
523003123310411332311
6253404114100343213
713316063245423200
oct1323072510463471
9214844776454100
1049692052449081
1114919310158199
1256a679b9a4b09
132195c2c1b6323
14c3b172b72237
155b290e8b6056
hex2d31d5226739

49692052449081 has 45 divisors (see below), whose sum is σ = 86351511400671. Its totient is φ = 28395204769008.

The previous prime is 49692052449001. The next prime is 49692052449157. The reversal of 49692052449081 is 18094425029694.

The square root of 49692052449081 is 7049259.

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

49692052449081 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 20 + 524 + 4 + 9 + 0 + 81 = 666.

49692052449081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28035277677225 + 21656774771856 = 5294835^2 + 4653684^2 .

It is not a de Polignac number, because 49692052449081 - 213 = 49692052440889 is a prime.

It is a super-2 number, since 2×496920524490812 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (49692052449001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 444047371 + ... + 444159263.

Almost surely, 249692052449081 is an apocalyptic number.

49692052449081 is the 7049259-th square number.

49692052449081 is the 3524630-th centered octagonal number.

It is an amenable number.

49692052449081 is a deficient number, since it is larger than the sum of its proper divisors (36659458951590).

49692052449081 is an frugal number, since it uses more digits than its factorization.

49692052449081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223812 (or 111903 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 49692052449081 in words is "forty-nine trillion, six hundred ninety-two billion, fifty-two million, four hundred forty-nine thousand, eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 111893 335679 783251 1007037 2349753 3021111 5482757 7049259 9063333 16448271 21147777 49344813 63443331 148034439 444103317 12520043449 37560130347 87640304143 112680391041 262920912429 338041173123 613482129001 788762737287 1014123519369 1840446387003 2366288211861 5521339161009 7098864635583 16564017483027 49692052449081