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80713946404 = 22741322232
BaseRepresentation
bin100101100101011101…
…1010001010100100100
321201100002112022100101
41023022323101110210
52310300232241104
6101025055553444
75555111140000
oct1131273212444
9251302468311
1080713946404
1131259a11633
1213786b2b884
1377c4018100
143c99903700
152175ee85a4
hex12caed1524

80713946404 has 135 divisors (see below), whose sum is σ = 179235410193. Its totient is φ = 31787604576.

The previous prime is 80713946393. The next prime is 80713946413. The reversal of 80713946404 is 40464931708.

The square root of 80713946404 is 284102.

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., 11939932900 + 68774013504 = 109270^2 + 262248^2 .

It is a super-2 number, since 2×807139464042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 361945837 + ... + 361946059.

Almost surely, 280713946404 is an apocalyptic number.

80713946404 is the 284102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80713946404

80713946404 is an abundant number, since it is smaller than the sum of its proper divisors (98521463789).

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

80713946404 is an equidigital number, since it uses as much as digits as its factorization.

80713946404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 80713946404 in words is "eighty billion, seven hundred thirteen million, nine hundred forty-six thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 223 338 343 364 446 637 676 686 892 1183 1274 1372 1561 2366 2401 2548 2899 3122 4459 4732 4802 5798 6244 8281 8918 9604 10927 11596 16562 17836 20293 21854 31213 33124 37687 40586 43708 49729 57967 62426 75374 76489 81172 99458 115934 124852 142051 150748 152978 198916 231868 263809 284102 305956 348103 405769 527618 535423 568204 646477 696206 811538 994357 1055236 1070846 1292954 1392412 1623076 1846663 1988714 2141692 2436721 2585908 3693326 3977428 4525339 4873442 6960499 7386652 8404201 9050678 9746884 12926641 13920998 16808402 17057047 18101356 25853282 27841996 31677373 33616804 34114094 51706564 58829407 63354746 68228188 90486487 117658814 119399329 126709492 180972974 221741611 235317628 238798658 361945948 411805849 443483222 477597316 823611698 886966444 1552191277 1647223396 2882640943 3104382554 5765281886 6208765108 11530563772 20178486601 40356973202 80713946404