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450316234517553 = 321971269492000689
BaseRepresentation
bin110011001100011110110101…
…1001100011110110000110001
32012001102210220122110100102200
41212120331223030132300301
5433010440122014030203
64233424231111333413
7163565163041406105
oct14630755314366061
92161383818410380
10450316234517553
11120537051735338
124260a377981269
131643683c307121
147d2b5ca131905
15370db5a8199a3
hex1998f6b31ec31

450316234517553 has 24 divisors (see below), whose sum is σ = 653764070817000. Its totient is φ = 298684408103424.

The previous prime is 450316234517533. The next prime is 450316234517587. The reversal of 450316234517553 is 355715432613054.

450316234517553 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 1 + 6 + 2 + 34 + 51 + 7 + 553 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 224518218180624 + 225798016336929 = 14983932^2 + 15026577^2 .

It is not a de Polignac number, because 450316234517553 - 226 = 450316167408689 is a prime.

It is a super-2 number, since 2×4503162345175532 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450316234517553.

It is not an unprimeable number, because it can be changed into a prime (450316234517503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224080233 + ... + 226080921.

It is an arithmetic number, because the mean of its divisors is an integer number (27240169617375).

Almost surely, 2450316234517553 is an apocalyptic number.

It is an amenable number.

450316234517553 is a deficient number, since it is larger than the sum of its proper divisors (203447836299447).

450316234517553 is a wasteful number, since it uses less digits than its factorization.

450316234517553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127841 (or 2127838 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 450316234517553 in words is "four hundred fifty trillion, three hundred sixteen billion, two hundred thirty-four million, five hundred seventeen thousand, five hundred fifty-three".

Divisors: 1 3 9 197 591 1773 126949 380847 1142541 2000689 6002067 18006201 25008953 75026859 225080577 394135733 1182407199 3547221597 253985467861 761956403583 2285869210749 50035137168617 150105411505851 450316234517553