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11156056400 = 245229961729
BaseRepresentation
bin10100110001111001…
…11110100101010000
31001210111002101101002
422120330332211100
5140321422301100
65043001001132
7543312625526
oct123074764520
931714071332
1011156056400
114805337325
1221b41831a8
13108a367108
1477b8d4316
154546182d5
hex298f3e950

11156056400 has 60 divisors (see below), whose sum is σ = 27726675900. Its totient is φ = 4308541440.

The previous prime is 11156056399. The next prime is 11156056403. The reversal of 11156056400 is 465065111.

11156056400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 53640976 + 11102415424 = 7324^2 + 105368^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11156056403) 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 11 ways as a sum of consecutive naturals, for example, 469265 + ... + 492464.

It is an arithmetic number, because the mean of its divisors is an integer number (462111265).

Almost surely, 211156056400 is an apocalyptic number.

11156056400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11156056400 is an abundant number, since it is smaller than the sum of its proper divisors (16570619500).

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

11156056400 is a wasteful number, since it uses less digits than its factorization.

11156056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961776 (or 961765 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 11156056400 in words is "eleven billion, one hundred fifty-six million, fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 961729 1923458 3846916 4808645 7693832 9617290 15387664 19234580 24043225 27890141 38469160 48086450 55780282 76938320 96172900 111560564 139450705 192345800 223121128 278901410 384691600 446242256 557802820 697253525 1115605640 1394507050 2231211280 2789014100 5578028200 11156056400