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500063951104 = 2819322292
BaseRepresentation
bin1110100011011100010…
…00100101100100000000
31202210202022112202122221
413101232020211210000
531143112332413404
61021420505540424
751062023310614
oct7215610454400
91683668482587
10500063951104
11183092077953
1280aba4a4714
133820447c273
141a2bb90d344
15d01b566954
hex746e225900

500063951104 has 81 divisors (see below), whose sum is σ = 1007773889283. Its totient is φ = 247650287616.

The previous prime is 500063951089. The next prime is 500063951113. The reversal of 500063951104 is 401159360005.

The square root of 500063951104 is 707152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30499129600 + 469564821504 = 174640^2 + 685248^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 500063951104.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2183685262 + ... + 2183685490.

Almost surely, 2500063951104 is an apocalyptic number.

500063951104 is the 707152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500063951104

500063951104 is an abundant number, since it is smaller than the sum of its proper divisors (507709938179).

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

500063951104 is an frugal number, since it uses more digits than its factorization.

500063951104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 500063951104 in words is "five hundred billion, sixty-three million, nine hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 193 229 256 386 458 772 916 1544 1832 3088 3664 6176 7328 12352 14656 24704 29312 37249 44197 49408 52441 58624 74498 88394 104882 148996 176788 209764 297992 353576 419528 595984 707152 839056 1191968 1414304 1678112 2383936 2828608 3356224 4767872 5657216 6712448 8530021 9535744 10121113 11314432 13424896 17060042 20242226 34120084 40484452 68240168 80968904 136480336 161937808 272960672 323875616 545921344 647751232 1091842688 1295502464 1953374809 2183685376 2591004928 3906749618 7813499236 15626998472 31253996944 62507993888 125015987776 250031975552 500063951104