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11794231296 = 21232378647
BaseRepresentation
bin10101111101111110…
…11011000000000000
31010102221221000202100
422332333123000000
5143123310400141
65230155150400
7565162211661
oct127677330000
933387830670
1011794231296
1150025995a1
122351a45400
13115c63a8b3
147dc577368
154906770b6
hex2befdb000

11794231296 has 156 divisors (see below), whose sum is σ = 34992869392. Its totient is φ = 3824713728.

The previous prime is 11794231289. The next prime is 11794231297. The reversal of 11794231296 is 69213249711.

11794231296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11794231297) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1359645 + ... + 1368291.

Almost surely, 211794231296 is an apocalyptic number.

11794231296 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 11794231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496434696).

11794231296 is an abundant number, since it is smaller than the sum of its proper divisors (23198638096).

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

11794231296 is an equidigital number, since it uses as much as digits as its factorization.

11794231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8689 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 11794231296 in words is "eleven billion, seven hundred ninety-four million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2048 2304 2368 2664 3072 3552 4096 4608 4736 5328 6144 7104 8647 9216 9472 10656 12288 14208 17294 18432 18944 21312 25941 28416 34588 36864 37888 42624 51882 56832 69176 75776 77823 85248 103764 113664 138352 151552 155646 170496 207528 227328 276704 311292 319939 340992 415056 454656 553408 622584 639878 681984 830112 959817 1106816 1245168 1279756 1363968 1660224 1919634 2213632 2490336 2559512 2879451 3320448 3839268 4427264 4980672 5119024 5758902 6640896 7678536 8854528 9961344 10238048 11517804 13281792 15357072 17709056 19922688 20476096 23035608 26563584 30714144 35418112 39845376 40952192 46071216 53127168 61428288 79690752 81904384 92142432 106254336 122856576 159381504 163808768 184284864 245713152 318763008 327617536 368569728 491426304 655235072 737139456 982852608 1310470144 1474278912 1965705216 2948557824 3931410432 5897115648 11794231296