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450864490349 = 71323976431493
BaseRepresentation
bin1101000111110011001…
…11100010011101101101
31121002202112002012102202
412203321213202131231
524341332302142344
6543042502431245
744400561635540
oct6437147423555
91532675065382
10450864490349
11164235283889
1273469732525
1333693520a00
1417b71648857
15badc10394e
hex68f99e276d

450864490349 has 48 divisors (see below), whose sum is σ = 560609707392. Its totient is φ = 355038038784.

The previous prime is 450864490343. The next prime is 450864490409. The reversal of 450864490349 is 943094468054.

It is not a de Polignac number, because 450864490349 - 28 = 450864490093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 450864490294 and 450864490303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450864490343) 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 47 ways as a sum of consecutive naturals, for example, 301984847 + ... + 301986339.

It is an arithmetic number, because the mean of its divisors is an integer number (11679368904).

Almost surely, 2450864490349 is an apocalyptic number.

It is an amenable number.

450864490349 is a deficient number, since it is larger than the sum of its proper divisors (109745217043).

450864490349 is a wasteful number, since it uses less digits than its factorization.

450864490349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 56.

The spelling of 450864490349 in words is "four hundred fifty billion, eight hundred sixty-four million, four hundred ninety thousand, three hundred forty-nine".

Divisors: 1 7 13 91 169 397 643 1183 1493 2779 4501 5161 8359 10451 19409 36127 58513 67093 108667 135863 252317 255271 469651 592721 760669 959999 1766219 1786897 3318523 4149047 6719993 7705373 12479987 23229661 43140799 53937611 87359909 100169849 162239831 301985593 381119603 701188943 1135678817 2667837221 4954554839 34681883873 64409212907 450864490349