Search a number
-
+
53083435362244 = 227273271292
BaseRepresentation
bin11000001000111011100110…
…10011101110011111000100
320221221201121212210002122121
430010131303103232133010
523424204333423042434
6304522105450135324
714116103004515200
oct1404356323563704
9227851555702577
1053083435362244
1115a0661641a3a1
125b53b13121544
1323809920123c1
14d1737560db00
15620c4e2627b4
hex3047734ee7c4

53083435362244 has 81 divisors (see below), whose sum is σ = 109578667832487. Its totient is φ = 22435251810048.

The previous prime is 53083435362233. The next prime is 53083435362263. The reversal of 53083435362244 is 44226353438035.

The square root of 53083435362244 is 7285838.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2142212776900 + 50941222585344 = 1463630^2 + 7137312^2 .

It is a super-2 number, since 2×530834353622442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53083435362191 and 53083435362200.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7446122872 + ... + 7446130000.

Almost surely, 253083435362244 is an apocalyptic number.

53083435362244 is the 7285838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53083435362244

53083435362244 is an abundant number, since it is smaller than the sum of its proper divisors (56495232470243).

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

53083435362244 is an frugal number, since it uses more digits than its factorization.

53083435362244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14422 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 52.

The spelling of 53083435362244 in words is "fifty-three trillion, eighty-three billion, four hundred thirty-five million, three hundred sixty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 2044 3577 5329 7129 7154 10658 14258 14308 21316 28516 37303 49903 74606 99806 149212 199612 261121 349321 520417 522242 698642 1040834 1044484 1397284 2081668 3642919 7285838 14571676 25500433 37990441 50822641 51000866 75980882 101645282 102001732 151961764 203290564 265933087 355758487 531866174 711516974 1063732348 1423033948 1861531609 2490309409 3710052793 3723063218 4980618818 7420105586 7446126436 9961237636 14840211172 25970369551 51940739102 103881478204 181792586857 270833853889 363585173714 541667707778 727170347428 1083335415556 1895836977223 3791673954446 7583347908892 13270858840561 26541717681122 53083435362244