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450864490350 = 23528940184221
BaseRepresentation
bin1101000111110011001…
…11100010011101101110
31121002202112002012102210
412203321213202131232
524341332302142400
6543042502431250
744400561635541
oct6437147423556
91532675065383
10450864490350
1116423528388a
1273469732526
1333693520a01
1417b71648858
15badc103950
hex68f99e276e

450864490350 has 96 divisors (see below), whose sum is σ = 1133540529120. Its totient is φ = 118581760000.

The previous prime is 450864490343. The next prime is 450864490409. The reversal of 450864490350 is 53094468054.

It is a self number, because there is not a number n which added to its sum of digits gives 450864490350.

It is a congruent number.

It is an unprimeable number.

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, 5311240 + ... + 5395460.

It is an arithmetic number, because the mean of its divisors is an integer number (11807713845).

Almost surely, 2450864490350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450864490350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566770264560).

450864490350 is an abundant number, since it is smaller than the sum of its proper divisors (682676038770).

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

450864490350 is a wasteful number, since it uses less digits than its factorization.

450864490350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84726 (or 84721 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 450864490350 in words is "four hundred fifty billion, eight hundred sixty-four million, four hundred ninety thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 150 178 267 401 445 534 802 890 1203 1335 2005 2225 2406 2670 4010 4450 6015 6675 10025 12030 13350 20050 30075 35689 60150 71378 84221 107067 168442 178445 214134 252663 356890 421105 505326 535335 842210 892225 1070670 1263315 1784450 2105525 2526630 2676675 4211050 5353350 6316575 7495669 12633150 14991338 22487007 33772621 37478345 44974014 67545242 74956690 101317863 112435035 168863105 187391725 202635726 224870070 337726210 374783450 506589315 562175175 844315525 1013178630 1124350350 1688631050 2532946575 3005763269 5065893150 6011526538 9017289807 15028816345 18034579614 30057632690 45086449035 75144081725 90172898070 150288163450 225432245175 450864490350