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11293302336 = 263591039679
BaseRepresentation
bin10101000010010001…
…00001111001000000
31002011001100012101220
422201020201321000
5141112041133321
65104342355040
7546600325461
oct124110417100
932131305356
1011293302336
114875858218
12223212ba80
1310ac91ba24
14791c1cd68
154616c89c6
hex2a1221e40

11293302336 has 112 divisors (see below), whose sum is σ = 30684825600. Its totient is φ = 3664323072.

The previous prime is 11293302323. The next prime is 11293302343. The reversal of 11293302336 is 63320339211.

It is a junction number, because it is equal to n+sod(n) for n = 11293302297 and 11293302306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161945 + ... + 1171623.

Almost surely, 211293302336 is an apocalyptic number.

11293302336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11293302336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342412800).

11293302336 is an abundant number, since it is smaller than the sum of its proper divisors (19391523264).

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

11293302336 is a wasteful number, since it uses less digits than its factorization.

11293302336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The spelling of 11293302336 in words is "eleven billion, two hundred ninety-three million, three hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 103 118 177 192 206 236 309 354 412 472 618 708 824 944 1236 1416 1648 1888 2472 2832 3296 3776 4944 5664 6077 6592 9679 9888 11328 12154 18231 19358 19776 24308 29037 36462 38716 48616 58074 72924 77432 97232 116148 145848 154864 194464 232296 291696 309728 388928 464592 571061 583392 619456 929184 996937 1142122 1166784 1713183 1858368 1993874 2284244 2990811 3426366 3987748 4568488 5981622 6852732 7975496 9136976 11963244 13705464 15950992 18273952 23926488 27410928 31901984 36547904 47852976 54821856 58819283 63803968 95705952 109643712 117638566 176457849 191411904 235277132 352915698 470554264 705831396 941108528 1411662792 1882217056 2823325584 3764434112 5646651168 11293302336