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711384286096 = 241122926612
BaseRepresentation
bin10100101101000011100…
…11101100001110010000
32112000012121001001101201
422112201303230032100
543123403334123341
61302445550040544
7102252523443001
oct12264163541620
92460177031351
10711384286096
1125477297a300
12b5a551a9154
1352110b935c3
14266072491a8
1513788754331
hexa5a1cec390

711384286096 has 135 divisors (see below), whose sum is σ = 1571418751539. Its totient is φ = 311733945600.

The previous prime is 711384286057. The next prime is 711384286121. The reversal of 711384286096 is 690682483117.

The square root of 711384286096 is 843436.

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 78532215696 + 632852070400 = 280236^2 + 795520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1076224006 + ... + 1076224666.

Almost surely, 2711384286096 is an apocalyptic number.

711384286096 is the 843436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 711384286096

711384286096 is an abundant number, since it is smaller than the sum of its proper divisors (860034465443).

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

711384286096 is an equidigital number, since it uses as much as digits as its factorization.

711384286096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 711384286096 in words is "seven hundred eleven billion, three hundred eighty-four million, two hundred eighty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 661 841 968 1276 1322 1682 1936 2552 2644 3364 3509 5104 5288 6728 7018 7271 9251 10576 13456 14036 14542 18502 19169 28072 29084 37004 38338 56144 58168 74008 76676 79981 101761 116336 148016 153352 159962 203522 210859 306704 319924 407044 421718 436921 555901 639848 814088 843436 873842 1111802 1279696 1628176 1686872 1747684 2223604 2319449 3373744 3495368 4447208 4638898 4806131 6114911 6990736 8894416 9277796 9612262 12229822 12670709 18555592 19224524 24459644 25341418 37111184 38449048 48919288 50682836 52867441 67264021 76898096 97838576 101365672 105734882 134528042 139377799 202731344 211469764 269056084 278755598 367450561 422939528 538112168 557511196 734901122 845879056 1076224336 1115022392 1469802244 1533155789 2230044784 2939604488 3066311578 4041956171 5879208976 6132623156 8083912342 12265246312 16167824684 24530492624 32335649368 44461517881 64671298736 88923035762 177846071524 355692143048 711384286096