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716927984656 = 241321928572
BaseRepresentation
bin10100110111011000011…
…11001110010000010000
32112112111221111010011121
422123230033032100100
543221232031002111
61305204022452024
7102540100215322
oct12335417162020
92475457433147
10716927984656
11257058180064
12b6b41894014
13527b5567400
14269b15d9612
15139b02a6871
hexa6ec3ce410

716927984656 has 135 divisors (see below), whose sum is σ = 1589302108791. Its totient is φ = 313108803072.

The previous prime is 716927984651. The next prime is 716927984693. The reversal of 716927984656 is 656489729617.

It is a happy number.

The square root of 716927984656 is 846716.

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 10386871056 + 706541113600 = 101916^2 + 840560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (716927984651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 836554980 + ... + 836555836.

Almost surely, 2716927984656 is an apocalyptic number.

716927984656 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

716927984656 is the 846716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716927984656

716927984656 is an abundant number, since it is smaller than the sum of its proper divisors (872374124135).

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

716927984656 is an equidigital number, since it uses as much as digits as its factorization.

716927984656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 891 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 70.

The spelling of 716927984656 in words is "seven hundred sixteen billion, nine hundred twenty-seven million, nine hundred eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 361 494 676 722 857 988 1352 1444 1714 1976 2704 2888 3211 3428 3952 4693 5776 6422 6856 9386 11141 12844 13712 16283 18772 22282 25688 32566 37544 44564 51376 61009 65132 75088 89128 122018 130264 144833 178256 211679 244036 260528 289666 309377 423358 488072 579332 618754 734449 846716 976144 1158664 1237508 1468898 1693432 2317328 2475016 2751827 2937796 3386864 4021901 4950032 5503654 5875592 8043802 9547837 11007308 11751184 13954531 16087604 19095674 22014616 27909062 32175208 38191348 44029232 52284713 55818124 64350416 76382696 104569426 111636248 124121881 152765392 181408903 209138852 223272496 248243762 265136089 362817806 418277704 496487524 530272178 725635612 836555408 992975048 1060544356 1451271224 1985950096 2121088712 2358315739 2902542448 3446769157 4242177424 4716631478 6893538314 9433262956 13787076628 18866525912 27574153256 37733051824 44807999041 55148306512 89615998082 179231996164 358463992328 716927984656