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8257209143296 = 2125927612
BaseRepresentation
bin111100000101000100000…
…0001001001000000000000
31002020101022002202200102211
41320022020001021000000
52040241231020041141
625321150504351504
71511364224443411
oct170121001110000
932211262680384
108257209143296
1126a3954329553
12b14376775594
1347b8613c4bc9
142079186cd808
15e4bc7b0bd81
hex78288049000

8257209143296 has 117 divisors (see below), whose sum is σ = 16819118473273. Its totient is φ = 4053294940160.

The previous prime is 8257209143257. The next prime is 8257209143299. The reversal of 8257209143296 is 6923419027528.

The square root of 8257209143296 is 2873536.

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., 21686685696 + 8235522457600 = 147264^2 + 2869760^2 .

It is a super-2 number, since 2×82572091432962 (a number of 27 digits) contains 22 as substring.

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 8257209143296.

It is not an unprimeable number, because it can be changed into a prime (8257209143299) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10850471556 + ... + 10850472316.

It is a 1-persistent number, because it is pandigital, but 2⋅8257209143296 = 16514418286592 is not.

Almost surely, 28257209143296 is an apocalyptic number.

8257209143296 is the 2873536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8257209143296

8257209143296 is an abundant number, since it is smaller than the sum of its proper divisors (8561909329977).

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

8257209143296 is an frugal number, since it uses more digits than its factorization.

8257209143296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 8257209143296 in words is "eight trillion, two hundred fifty-seven billion, two hundred nine million, one hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 761 944 1024 1522 1888 2048 3044 3481 3776 4096 6088 6962 7552 12176 13924 15104 24352 27848 30208 44899 48704 55696 60416 89798 97408 111392 120832 179596 194816 222784 241664 359192 389632 445568 579121 718384 779264 891136 1158242 1436768 1558528 1782272 2316484 2649041 2873536 3117056 3564544 4632968 5298082 5747072 7129088 9265936 10596164 11494144 14258176 18531872 21192328 22988288 34168139 37063744 42384656 45976576 68336278 74127488 84769312 91953152 136672556 148254976 169538624 183906304 273345112 296509952 339077248 546690224 593019904 678154496 1093380448 1186039808 1356308992 2015920201 2186760896 2372079616 2712617984 4031840402 4373521792 5425235968 8063680804 8747043584 10850471936 16127361608 17494087168 32254723216 34988174336 64509446432 69976348672 129018892864 139952697344 258037785728 516075571456 1032151142912 2064302285824 4128604571648 8257209143296