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10996126720 = 21056593259
BaseRepresentation
bin10100011110110101…
…11001010000000000
31001101100011010002121
422033122321100000
5140010002023340
65015045054024
7536331351325
oct121732712000
931340133077
1010996126720
114733032837
12216a6b7314
13106319c677
14764582b4c
1544557694a
hex28f6b9400

10996126720 has 88 divisors (see below), whose sum is σ = 26425951200. Its totient is φ = 4390428672.

The previous prime is 10996126697. The next prime is 10996126723. The reversal of 10996126720 is 2762169901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10996126723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3372451 + ... + 3375709.

It is an arithmetic number, because the mean of its divisors is an integer number (300294900).

Almost surely, 210996126720 is an apocalyptic number.

10996126720 is a gapful number since it is divisible by the number (10) 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 10996126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212975600).

10996126720 is an abundant number, since it is smaller than the sum of its proper divisors (15429824480).

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

10996126720 is an equidigital number, since it uses as much as digits as its factorization.

10996126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 10996126720 in words is "ten billion, nine hundred ninety-six million, one hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 659 1024 1280 1318 2560 2636 3259 3295 5120 5272 6518 6590 10544 13036 13180 16295 21088 26072 26360 32590 42176 52144 52720 65180 84352 104288 105440 130360 168704 208576 210880 260720 337408 417152 421760 521440 674816 834304 843520 1042880 1668608 1687040 2085760 2147681 3337216 3374080 4171520 4295362 8343040 8590724 10738405 16686080 17181448 21476810 34362896 42953620 68725792 85907240 137451584 171814480 274903168 343628960 549806336 687257920 1099612672 1374515840 2199225344 2749031680 5498063360 10996126720