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11123664432 = 2432331332191
BaseRepresentation
bin10100101110000010…
…11010011000110000
31001201020010200221120
422113001122120300
5140240124230212
65035442422240
7542440405356
oct122701323060
931636120846
1011123664432
114799022801
1221a5361980
13108373547a
147774a17d6
1545186a88c
hex29705a630

11123664432 has 80 divisors (see below), whose sum is σ = 30082265088. Its totient is φ = 3535234560.

The previous prime is 11123664427. The next prime is 11123664491. The reversal of 11123664432 is 23446632111.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11123664393 and 11123664402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329457 + ... + 361647.

Almost surely, 211123664432 is an apocalyptic number.

11123664432 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 11123664432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041132544).

11123664432 is an abundant number, since it is smaller than the sum of its proper divisors (18958600656).

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

11123664432 is a wasteful number, since it uses less digits than its factorization.

11123664432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32538 (or 32532 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The spelling of 11123664432 in words is "eleven billion, one hundred twenty-three million, six hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 313 368 552 626 939 1104 1252 1878 2504 3756 5008 7199 7512 14398 15024 21597 28796 32191 43194 57592 64382 86388 96573 115184 128764 172776 193146 257528 345552 386292 515056 740393 772584 1480786 1545168 2221179 2961572 4442358 5923144 8884716 10075783 11846288 17769432 20151566 30227349 35538864 40303132 60454698 80606264 120909396 161212528 231743009 241818792 463486018 483637584 695229027 926972036 1390458054 1853944072 2780916108 3707888144 5561832216 11123664432