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452216036628 = 223237267136951
BaseRepresentation
bin1101001010010100010…
…11010001110100010100
31121020020201020212101100
412211022023101310110
524402114301133003
6543424543030100
744446222613646
oct6451213216424
91536221225340
10452216036628
11164869188584
127378629b330
133384a535b35
1417c5cd46896
15bb6aac6ba3
hex694a2d1d14

452216036628 has 108 divisors (see below), whose sum is σ = 1192374779232. Its totient is φ = 144474580800.

The previous prime is 452216036617. The next prime is 452216036641. The reversal of 452216036628 is 826630612254.

452216036628 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 16 + 0 + 3 + 6 + 628 = 666.

It is a super-2 number, since 2×4522160366282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3233553 + ... + 3370503.

Almost surely, 2452216036628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452216036628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596187389616).

452216036628 is an abundant number, since it is smaller than the sum of its proper divisors (740158742604).

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

452216036628 is a wasteful number, since it uses less digits than its factorization.

452216036628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137102 (or 137060 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 452216036628 in words is "four hundred fifty-two billion, two hundred sixteen million, thirty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 268 333 402 444 603 666 804 1206 1332 1369 2412 2479 2738 4107 4958 5476 7437 8214 9916 12321 14874 16428 22311 24642 29748 44622 49284 89244 91723 136951 183446 273902 275169 366892 410853 547804 550338 821706 825507 1100676 1232559 1643412 1651014 2465118 3302028 4930236 5067187 9175717 10134374 15201561 18351434 20268748 27527151 30403122 36702868 45604683 55054302 60806244 82581453 91209366 110108604 165162906 182418732 187485919 330325812 339501529 374971838 562457757 679003058 749943676 1018504587 1124915514 1358006116 1687373271 2037009174 2249831028 3055513761 3374746542 4074018348 6111027522 6749493084 12222055044 12561556573 25123113146 37684669719 50246226292 75369339438 113054009157 150738678876 226108018314 452216036628