Search a number
-
+
153214638984 = 233211193452827
BaseRepresentation
bin1000111010110001001…
…1011101101110001000
3112122110210101002112200
42032230103131232020
510002240421421414
6154215201240200
714032541641401
oct2165423355610
9478423332480
10153214638984
1159a8373aa90
122583b333060
13115a95751c4
1475b66aa9a8
153ebae20109
hex23ac4ddb88

153214638984 has 48 divisors (see below), whose sum is σ = 452679617520. Its totient is φ = 46428678240.

The previous prime is 153214638971. The next prime is 153214639003. The reversal of 153214638984 is 489836412351.

It is a happy number.

153214638984 is a `hidden beast` number, since 1 + 5 + 3 + 21 + 463 + 89 + 84 = 666.

153214638984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 153214638984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96725622 + ... + 96727205.

It is an arithmetic number, because the mean of its divisors is an integer number (9430825365).

Almost surely, 2153214638984 is an apocalyptic number.

It is an amenable number.

153214638984 is an abundant number, since it is smaller than the sum of its proper divisors (299464978536).

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

153214638984 is a wasteful number, since it uses less digits than its factorization.

153214638984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193452850 (or 193452843 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 153214638984 in words is "one hundred fifty-three billion, two hundred fourteen million, six hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 193452827 386905654 580358481 773811308 1160716962 1547622616 1741075443 2127981097 2321433924 3482150886 4255962194 4642867848 6383943291 6964301772 8511924388 12767886582 13928603544 17023848776 19151829873 25535773164 38303659746 51071546328 76607319492 153214638984