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480820211538498 = 232135966152688203
BaseRepresentation
bin110110101010011011010110…
…1111010001101101001000010
32100001102222000020211102021100
41231110312231322031221002
51001010224243123212443
64422341431131235230
7203164054034104146
oct15524665572155102
92301388006742240
10480820211538498
1112a227785502557
1245b16217ba8b16
131783a1c77cb470
1486a3b72993226
153a8c38545d3d3
hex1b54dade8da42

480820211538498 has 96 divisors (see below), whose sum is σ = 1142655402732480. Its totient is φ = 145217114824320.

The previous prime is 480820211538347. The next prime is 480820211538529. The reversal of 480820211538498 is 894835112028084.

480820211538498 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 2 + 0 + 2 + 1 + 1 + 538 + 4 + 98 = 666.

It is a super-3 number, since 3×4808202115384983 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17218336 + ... + 35469867.

It is an arithmetic number, because the mean of its divisors is an integer number (11902660445130).

Almost surely, 2480820211538498 is an apocalyptic number.

480820211538498 is an abundant number, since it is smaller than the sum of its proper divisors (661835191193982).

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

480820211538498 is a wasteful number, since it uses less digits than its factorization.

480820211538498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52688944 (or 52688941 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 480820211538498 in words is "four hundred eighty trillion, eight hundred twenty billion, two hundred eleven million, five hundred thirty-eight thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 354 531 661 767 1062 1322 1534 1983 2301 3966 4602 5949 6903 8593 11898 13806 17186 25779 38999 51558 77337 77998 116997 154674 233994 350991 506987 701982 1013974 1520961 3041922 4562883 9125766 52688203 105376406 158064609 316129218 474193827 684946639 948387654 1369893278 2054839917 3108603977 4109679834 6164519751 6217207954 9325811931 12329039502 18651623862 27977435793 34826902183 40411851701 55954871586 69653804366 80823703402 104480706549 121235555103 208961413098 242471110206 313442119647 363706665309 452749728379 626884239294 727413330618 905499456758 1358249185137 2054787228797 2716498370274 4074747555411 4109574457594 6164361686391 8149495110822 12328723372782 18493085059173 26712233974361 36986170118346 53424467948722 80136701923083 160273403846166 240410105769249 480820211538498