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26307542416 = 24232412432
BaseRepresentation
bin11000100000000011…
…010011110110010000
32111220102021121210211
4120200003103312100
5412334212324131
620030245533504
71620632264251
oct304003236620
974812247724
1026307542416
111017aa15aa1
125122414294
1326333b255c
1413b7cacb28
15a3e8a25b1
hex6200d3d90

26307542416 has 135 divisors (see below), whose sum is σ = 55914277377. Its totient is φ = 11989528320.

The previous prime is 26307542411. The next prime is 26307542419. The reversal of 26307542416 is 61424570362.

The square root of 26307542416 is 162196.

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., 1267644816 + 25039897600 = 35604^2 + 158240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26307542411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 611803291 + ... + 611803333.

Almost surely, 226307542416 is an apocalyptic number.

26307542416 is the 162196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26307542416

26307542416 is an abundant number, since it is smaller than the sum of its proper divisors (29606734961).

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

26307542416 is an equidigital number, since it uses as much as digits as its factorization.

26307542416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 26307542416 in words is "twenty-six billion, three hundred seven million, five hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 41 43 46 82 86 92 164 172 184 328 344 368 529 656 688 943 989 1058 1681 1763 1849 1886 1978 2116 3362 3526 3698 3772 3956 4232 6724 7052 7396 7544 7912 8464 13448 14104 14792 15088 15824 21689 22747 26896 28208 29584 38663 40549 42527 43378 45494 72283 75809 77326 81098 85054 86756 90988 144566 151618 154652 162196 170108 173512 181976 289132 303236 309304 324392 340216 347024 363952 578264 606472 618608 648784 680432 889249 932627 978121 1156528 1212944 1662509 1743607 1778498 1865254 1956242 3108169 3325018 3487214 3556996 3730508 3912484 6216338 6650036 6974428 7113992 7461016 7824968 12432676 13300072 13948856 14227984 14922032 15649936 24865352 26600144 27897712 38237707 40102961 49730704 71487887 76475414 80205922 142975774 152950828 160411844 285951548 305901656 320823688 571903096 611803312 641647376 1143806192 1644221401 3288442802 6576885604 13153771208 26307542416