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716345562384 = 243225122812
BaseRepresentation
bin10100110110010011000…
…01011101010100010000
32112111000100120000000100
422123021201131110100
543214033430444014
61305030135252400
7102516465546234
oct12331141352420
92474010500010
10716345562384
11256889438641
12b69ba81a100
13527219b454a
142695810a5c4
15139790ac009
hexa6c985d510

716345562384 has 135 divisors (see below), whose sum is σ = 2019980064037. Its totient is φ = 236984160000.

The previous prime is 716345562379. The next prime is 716345562409. The reversal of 716345562384 is 483265543617.

The square root of 716345562384 is 846372.

It is a perfect power (a square), and thus also a powerful number.

716345562384 is a `hidden beast` number, since 7 + 1 + 6 + 3 + 4 + 5 + 5 + 623 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 484098675984 + 232246886400 = 695772^2 + 481920^2 .

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 716345562384.

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 26 ways as a sum of consecutive naturals, for example, 2549272324 + ... + 2549272604.

Almost surely, 2716345562384 is an apocalyptic number.

716345562384 is the 846372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716345562384

716345562384 is an abundant number, since it is smaller than the sum of its proper divisors (1303634501653).

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

716345562384 is an equidigital number, since it uses as much as digits as its factorization.

716345562384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 537 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 716345562384 in words is "seven hundred sixteen billion, three hundred forty-five million, five hundred sixty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 281 502 562 753 843 1004 1124 1506 1686 2008 2248 2259 2529 3012 3372 4016 4496 4518 5058 6024 6744 9036 10116 12048 13488 18072 20232 36144 40464 63001 70531 78961 126002 141062 157922 189003 211593 236883 252004 282124 315844 378006 423186 473766 504008 564248 567009 631688 634779 710649 756012 846372 947532 1008016 1128496 1134018 1263376 1269558 1421298 1512024 1692744 1895064 2268036 2539116 2842596 3024048 3385488 3790128 4536072 5078232 5685192 9072144 10156464 11370384 17703281 19819211 35406562 39638422 53109843 59457633 70813124 79276844 106219686 118915266 141626248 158553688 159329529 178372899 212439372 237830532 283252496 317107376 318659058 356745798 424878744 475661064 637318116 713491596 849757488 951322128 1274636232 1426983192 2549272464 2853966384 4974621961 9949243922 14923865883 19898487844 29847731766 39796975688 44771597649 59695463532 79593951376 89543195298 119390927064 179086390596 238781854128 358172781192 716345562384