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7998798096 = 24322922572
BaseRepresentation
bin1110111001100001…
…11111100100010000
3202122110011001012100
413130300333210100
5112340143014341
63401414000400
7402134443032
oct73460774420
922573131170
107998798096
113435127443
121672946100
139a6212033
1455c473c52
1531c35e3b6
hex1dcc3f910

7998798096 has 135 divisors (see below), whose sum is σ = 23274618991. Its totient is φ = 2564308992.

The previous prime is 7998798089. The next prime is 7998798109. The reversal of 7998798096 is 6908978997.

The square root of 7998798096 is 89436.

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 3201296400 + 4797501696 = 56580^2 + 69264^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

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, 31123600 + ... + 31123856.

Almost surely, 27998798096 is an apocalyptic number.

7998798096 is the 89436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7998798096

7998798096 is an abundant number, since it is smaller than the sum of its proper divisors (15275820895).

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

7998798096 is a wasteful number, since it uses less digits than its factorization.

7998798096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The cubic root of 7998798096 is about 1999.8998363170.

The spelling of 7998798096 in words is "seven billion, nine hundred ninety-eight million, seven hundred ninety-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 257 261 348 464 514 522 696 771 841 1028 1044 1392 1542 1682 2056 2088 2313 2523 3084 3364 4112 4176 4626 5046 6168 6728 7453 7569 9252 10092 12336 13456 14906 15138 18504 20184 22359 29812 30276 37008 40368 44718 59624 60552 66049 67077 89436 119248 121104 132098 134154 178872 198147 216137 264196 268308 357744 396294 432274 528392 536616 594441 648411 792588 864548 1056784 1073232 1188882 1296822 1585176 1729096 1915421 1945233 2377764 2593644 3170352 3458192 3830842 3890466 4755528 5187288 5746263 7661684 7780932 9511056 10374576 11492526 15323368 15561864 17238789 22985052 30646736 31123728 34477578 45970104 55547209 68955156 91940208 111094418 137910312 166641627 222188836 275820624 333283254 444377672 499924881 666566508 888755344 999849762 1333133016 1999699524 2666266032 3999399048 7998798096