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487271010304 = 2121328392
BaseRepresentation
bin1110001011100111001…
…11011001000000000000
31201120201202101001000201
413011303213121000000
530440412334312204
61011503232454544
750130013151251
oct7056347310000
91646652331021
10487271010304
11178717867101
127a52a0aa454
1336c45c66a00
1419826882b28
15ca1d3b59a4
hex71739d9000

487271010304 has 117 divisors (see below), whose sum is σ = 1056403615233. Its totient is φ = 224626262016.

The previous prime is 487271010287. The next prime is 487271010337. The reversal of 487271010304 is 403010172784.

The square root of 487271010304 is 698048.

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

It can be written as a sum of positive squares in only one way, i.e., 72081510400 + 415189499904 = 268480^2 + 644352^2 .

It is a Duffinian number.

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, 580775517 + ... + 580776355.

Almost surely, 2487271010304 is an apocalyptic number.

487271010304 is the 698048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487271010304

487271010304 is an abundant number, since it is smaller than the sum of its proper divisors (569132604929).

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

487271010304 is an frugal number, since it uses more digits than its factorization.

487271010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 487271010304 in words is "four hundred eighty-seven billion, two hundred seventy-one million, ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 839 1024 1352 1664 1678 2048 2704 3328 3356 4096 5408 6656 6712 10816 10907 13312 13424 21632 21814 26624 26848 43264 43628 53248 53696 86528 87256 107392 141791 173056 174512 214784 283582 346112 349024 429568 567164 692224 698048 703921 859136 1134328 1396096 1407842 1718272 2268656 2792192 2815684 3436544 4537312 5584384 5631368 9074624 9150973 11168768 11262736 18149248 18301946 22337536 22525472 36298496 36603892 44675072 45050944 72596992 73207784 90101888 118962649 145193984 146415568 180203776 237925298 290387968 292831136 360407552 475850596 580775936 585662272 720815104 951701192 1171324544 1441630208 1903402384 2342649088 2883260416 3806804768 4685298176 7613609536 9370596352 15227219072 18741192704 30454438144 37482385408 60908876288 121817752576 243635505152 487271010304