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71003063296 = 2101127572
BaseRepresentation
bin100001000100000011…
…1001100010000000000
320210021022210100001001
41002020013030100000
52130403241011141
652341322021344
75062344036304
oct1021007142000
9223238710031
1071003063296
1128126418400
1211916947854
1369071b7c29
143617d1dd04
151ca86e9a31
hex10881cc400

71003063296 has 99 divisors (see below), whose sum is σ = 156219529557. Its totient is φ = 32231485440.

The previous prime is 71003063291. The next prime is 71003063323. The reversal of 71003063296 is 69236030017.

The square root of 71003063296 is 266464.

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., 43865113600 + 27137949696 = 209440^2 + 164736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71003063291) 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, 93794950 + ... + 93795706.

Almost surely, 271003063296 is an apocalyptic number.

71003063296 is the 266464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71003063296

71003063296 is an abundant number, since it is smaller than the sum of its proper divisors (85216466261).

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

71003063296 is an frugal number, since it uses more digits than its factorization.

71003063296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 71003063296 in words is "seventy-one billion, three million, sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 757 968 1024 1408 1514 1936 2816 3028 3872 5632 6056 7744 8327 11264 12112 15488 16654 24224 30976 33308 48448 61952 66616 91597 96896 123904 133232 183194 193792 266464 366388 387584 532928 573049 732776 775168 1065856 1146098 1465552 2131712 2292196 2931104 4263424 4584392 5862208 6303539 8526848 9168784 11724416 12607078 18337568 23448832 25214156 36675136 46897664 50428312 69338929 73350272 93795328 100856624 138677858 146700544 201713248 277355716 293401088 403426496 554711432 586802176 806852992 1109422864 1613705984 2218845728 3227411968 4437691456 6454823936 8875382912 17750765824 35501531648 71003063296