Search a number
-
+
13363552224 = 2532114218293
BaseRepresentation
bin11000111001000011…
…11001111111100000
31021111022212210100200
430130201321333200
5204332032132344
610050015145200
7652106214441
oct143441717740
937438783320
1013363552224
115738416640
12270b515200
13134c7c1569
1490ab632c8
15533316069
hex31c879fe0

13363552224 has 72 divisors (see below), whose sum is σ = 41457393432. Its totient is φ = 4049560320.

The previous prime is 13363552211. The next prime is 13363552243. The reversal of 13363552224 is 42225536331.

13363552224 is a `hidden beast` number, since 13 + 3 + 635 + 5 + 2 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2105979 + ... + 2112314.

It is an arithmetic number, because the mean of its divisors is an integer number (575797131).

Almost surely, 213363552224 is an apocalyptic number.

It is an amenable number.

13363552224 is an abundant number, since it is smaller than the sum of its proper divisors (28093841208).

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

13363552224 is a wasteful number, since it uses less digits than its factorization.

13363552224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218320 (or 4218309 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 13363552224 in words is "thirteen billion, three hundred sixty-three million, five hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 4218293 8436586 12654879 16873172 25309758 33746344 37964637 46401223 50619516 67492688 75929274 92802446 101239032 134985376 139203669 151858548 185604892 202478064 278407338 303717096 371209784 404956128 417611007 556814676 607434192 742419568 835222014 1113629352 1214868384 1484839136 1670444028 2227258704 3340888056 4454517408 6681776112 13363552224