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11249572096 = 28729472
BaseRepresentation
bin10100111101000011…
…01101100100000000
31002001000001110210101
422132201231210000
5141014342301341
65100141212144
7545526533200
oct123641554400
932030043711
1011249572096
1148530aa024
12221b561054
1310a384a349
1478a0b8400
1545c93b831
hex29e86d900

11249572096 has 81 divisors (see below), whose sum is σ = 26148968139. Its totient is φ = 4816154112.

The previous prime is 11249572073. The next prime is 11249572097. The reversal of 11249572096 is 69027594211.

The square root of 11249572096 is 106064.

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

It is not an unprimeable number, because it can be changed into a prime (11249572097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11878695 + ... + 11879641.

Almost surely, 211249572096 is an apocalyptic number.

11249572096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11249572096 is the 106064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11249572096

11249572096 is an abundant number, since it is smaller than the sum of its proper divisors (14899396043).

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

11249572096 is an frugal number, since it uses more digits than its factorization.

11249572096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 11249572096 in words is "eleven billion, two hundred forty-nine million, five hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 947 1568 1792 1894 3136 3788 6272 6629 7576 12544 13258 15152 26516 30304 46403 53032 60608 92806 106064 121216 185612 212128 242432 371224 424256 742448 848512 896809 1484896 1697024 1793618 2969792 3587236 5939584 6277663 7174472 11879168 12555326 14348944 25110652 28697888 43943641 50221304 57395776 87887282 100442608 114791552 175774564 200885216 229583104 351549128 401770432 703098256 803540864 1406196512 1607081728 2812393024 5624786048 11249572096