Search a number
-
+
18987056352 = 25321119131379
BaseRepresentation
bin10001101011101101…
…110111110011100000
31211000020111101210100
4101223231313303200
5302341141300402
612420022302400
71241342213265
oct215355676340
954006441710
1018987056352
118063775510
12381a887a00
131a378880b4
14cc196926c
15761d7e71c
hex46bb77ce0

18987056352 has 144 divisors (see below), whose sum is σ = 59213306880. Its totient is φ = 5723347200.

The previous prime is 18987056327. The next prime is 18987056401. The reversal of 18987056352 is 25365078981.

18987056352 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 70 + 563 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589399 + ... + 620777.

It is an arithmetic number, because the mean of its divisors is an integer number (411203520).

Almost surely, 218987056352 is an apocalyptic number.

18987056352 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 18987056352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29606653440).

18987056352 is an abundant number, since it is smaller than the sum of its proper divisors (40226250528).

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

18987056352 is a wasteful number, since it uses less digits than its factorization.

18987056352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31597 (or 31586 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 18987056352 in words is "eighteen billion, nine hundred eighty-seven million, fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 191 198 264 288 352 382 396 528 573 764 792 1056 1146 1528 1584 1719 2101 2292 3056 3168 3438 4202 4584 6112 6303 6876 8404 9168 12606 13752 16808 18336 18909 25212 27504 31379 33616 37818 50424 55008 62758 67232 75636 94137 100848 125516 151272 188274 201696 251032 282411 302544 345169 376548 502064 564822 605088 690338 753096 1004128 1035507 1129644 1380676 1506192 2071014 2259288 2761352 3012384 3106521 4142028 4518576 5522704 5993389 6213042 8284056 9037152 11045408 11986778 12426084 16568112 17980167 23973556 24852168 33136224 35960334 47947112 49704336 53940501 65927279 71920668 95894224 99408672 107881002 131854558 143841336 191788448 197781837 215762004 263709116 287682672 395563674 431524008 527418232 575365344 593345511 791127348 863048016 1054836464 1186691022 1582254696 1726096032 2109672928 2373382044 3164509392 4746764088 6329018784 9493528176 18987056352