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10939326336 = 273222941467
BaseRepresentation
bin10100011000000100…
…01101111110000000
31001020101021100121200
422030002031332000
5134400431420321
65005255421200
7535041511461
oct121402157600
931211240550
1010939326336
114703a67874
122153684800
1310544a2b83
1475abd8d68
154405a6d26
hex28c08df80

10939326336 has 96 divisors (see below), whose sum is σ = 31617276600. Its totient is φ = 3630431232.

The previous prime is 10939326287. The next prime is 10939326367. The reversal of 10939326336 is 63362393901.

10939326336 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 9 + 3 + 2 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10939326291 and 10939326300.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 243075 + ... + 284541.

Almost surely, 210939326336 is an apocalyptic number.

10939326336 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 10939326336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808638300).

10939326336 is an abundant number, since it is smaller than the sum of its proper divisors (20677950264).

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

10939326336 is a wasteful number, since it uses less digits than its factorization.

10939326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41716 (or 41701 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 10939326336 in words is "ten billion, nine hundred thirty-nine million, three hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 288 384 458 576 687 916 1152 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 14656 16488 21984 29312 32976 41467 43968 65952 82934 87936 124401 131904 165868 248802 263808 331736 373203 497604 663472 746406 995208 1326944 1492812 1990416 2653888 2985624 3980832 5307776 5971248 7961664 9495943 11942496 15923328 18991886 23884992 28487829 37983772 47769984 56975658 75967544 85463487 113951316 151935088 170926974 227902632 303870176 341853948 455805264 607740352 683707896 911610528 1215480704 1367415792 1823221056 2734831584 3646442112 5469663168 10939326336