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11256997801 = 722326592
BaseRepresentation
bin10100111101111100…
…00010011110101001
31002001112000201221111
422132332002132221
5141023242412201
65101004310321
7545646621400
oct123676023651
932045021844
1011256997801
114857311075
122221b423a1
1310a524a25a
1478b08c637
1545d406b51
hex29ef827a9

11256997801 has 27 divisors (see below), whose sum is σ = 13709775261. Its totient is φ = 9215334744.

The previous prime is 11256997789. The next prime is 11256997813. The reversal of 11256997801 is 10879965211.

The square root of 11256997801 is 106099.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (11256997789) and next prime (11256997813).

It is not a de Polignac number, because 11256997801 - 29 = 11256997289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (11256997841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17081610 + ... + 17082268.

Almost surely, 211256997801 is an apocalyptic number.

11256997801 is the 106099-th square number.

11256997801 is the 53050-th centered octagonal number.

It is an amenable number.

11256997801 is a deficient number, since it is larger than the sum of its proper divisors (2452777460).

11256997801 is an frugal number, since it uses more digits than its factorization.

11256997801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

Multiplying 11256997801 by its sum of digits (49), we get a square (551592892249 = 7426932).

11256997801 divided by its sum of digits (49) gives a square (229734649 = 151572).

The spelling of 11256997801 in words is "eleven billion, two hundred fifty-six million, nine hundred ninety-seven thousand, eight hundred one".

Divisors: 1 7 23 49 161 529 659 1127 3703 4613 15157 25921 32291 106099 348611 434281 742693 2440277 3039967 9988463 17081939 21279769 69919241 229734649 489434687 1608142543 11256997801