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11199556152 = 2333235773907
BaseRepresentation
bin10100110111000101…
…11010101000111000
31001220111221101211000
422123202322220320
5140414041244102
65051153205000
7544351441131
oct123342725070
931814841730
1011199556152
114827948334
122206860760
131096387905
147835b8c88
1545835c01c
hex29b8baa38

11199556152 has 128 divisors (see below), whose sum is σ = 32527065600. Its totient is φ = 3563771904.

The previous prime is 11199556133. The next prime is 11199556153. The reversal of 11199556152 is 25165599111.

11199556152 is a `hidden beast` number, since 1 + 1 + 1 + 99 + 556 + 1 + 5 + 2 = 666.

11199556152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11199556098 and 11199556107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11199556153) 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 31 ways as a sum of consecutive naturals, for example, 2864583 + ... + 2868489.

It is an arithmetic number, because the mean of its divisors is an integer number (254117700).

Almost surely, 211199556152 is an apocalyptic number.

11199556152 is a gapful number since it is divisible by the number (12) 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 11199556152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263532800).

11199556152 is an abundant number, since it is smaller than the sum of its proper divisors (21327509448).

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

11199556152 is a wasteful number, since it uses less digits than its factorization.

11199556152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4512 counting only the distinct ones).

The product of its digits is 121500, while the sum is 45.

The spelling of 11199556152 in words is "eleven billion, one hundred ninety-nine million, five hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 577 621 828 1154 1242 1656 1731 2308 2484 3462 3907 4616 4968 5193 6924 7814 10386 11721 13271 13848 15579 15628 20772 23442 26542 31158 31256 35163 39813 41544 46884 53084 62316 70326 79626 89861 93768 105489 106168 119439 124632 140652 159252 179722 210978 238878 269583 281304 318504 358317 359444 421956 477756 539166 716634 718888 808749 843912 955512 1078332 1433268 1617498 2156664 2254339 2426247 2866536 3234996 4508678 4852494 6469992 6763017 9017356 9704988 13526034 18034712 19409976 20289051 27052068 40578102 51849797 54104136 60867153 81156204 103699594 121734306 155549391 162312408 207399188 243468612 311098782 414798376 466648173 486937224 622197564 933296346 1244395128 1399944519 1866592692 2799889038 3733185384 5599778076 11199556152