Search a number
-
+
11012660224 = 210192313
BaseRepresentation
bin10100100000110011…
…11101110000000000
31001102111021002210121
422100121331300000
5140023220111344
65020435310024
7536622032056
oct122031756000
931374232717
1011012660224
1147413a5695
12217414b314
13106673acc7
147668481d6
15446c40684
hex29067dc00

11012660224 has 132 divisors (see below), whose sum is σ = 24008657088. Its totient is φ = 5048248320.

The previous prime is 11012660209. The next prime is 11012660227. The reversal of 11012660224 is 42206621011.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012660227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355247089 + ... + 355247119.

Almost surely, 211012660224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012660224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004328544).

11012660224 is an abundant number, since it is smaller than the sum of its proper divisors (12995996864).

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

11012660224 is an frugal number, since it uses more digits than its factorization.

11012660224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 11012660224 in words is "eleven billion, twelve million, six hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 361 496 512 589 608 722 961 992 1024 1178 1216 1444 1922 1984 2356 2432 2888 3844 3968 4712 4864 5776 7688 7936 9424 9728 11191 11552 15376 15872 18259 18848 19456 22382 23104 29791 30752 31744 36518 37696 44764 46208 59582 61504 73036 75392 89528 92416 119164 123008 146072 150784 179056 184832 238328 246016 292144 301568 346921 358112 369664 476656 492032 566029 584288 603136 693842 716224 953312 984064 1132058 1168576 1387684 1432448 1906624 2264116 2337152 2775368 2864896 3813248 4528232 4674304 5550736 5729792 7626496 9056464 9348608 10754551 11101472 11459584 15252992 18112928 18697216 21509102 22202944 30505984 36225856 43018204 44405888 72451712 86036408 88811776 144903424 172072816 177623552 289806848 344145632 355247104 579613696 688291264 1376582528 2753165056 5506330112 11012660224