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152716199868 = 223231222161613
BaseRepresentation
bin1000111000111010011…
…0000100011110111100
3112121012001110202121200
42032032212010132330
510000230321343433
6154053514055500
714014310165211
oct2161646043674
9477161422550
10152716199868
115984834a331
122572041a590
131152a21870b
14756a3ddb08
153e8c2b4613
hex238e9847bc

152716199868 has 72 divisors (see below), whose sum is σ = 398671168896. Its totient is φ = 49240310400.

The previous prime is 152716199843. The next prime is 152716199869. The reversal of 152716199868 is 868991617251.

152716199868 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 1 + 619 + 9 + 8 + 6 + 8 = 666.

152716199868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152716199869) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2447830 + ... + 2509442.

It is an arithmetic number, because the mean of its divisors is an integer number (5537099568).

Almost surely, 2152716199868 is an apocalyptic number.

152716199868 is a gapful number since it is divisible by the number (18) 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 152716199868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199335584448).

152716199868 is an abundant number, since it is smaller than the sum of its proper divisors (245954969028).

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

152716199868 is a wasteful number, since it uses less digits than its factorization.

152716199868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63875 (or 63870 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 152716199868 in words is "one hundred fifty-two billion, seven hundred sixteen million, one hundred ninety-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2221 4442 6663 8884 13326 19989 26652 39978 61613 68851 79956 123226 137702 184839 206553 246452 275404 369678 413106 554517 619659 739356 826212 1109034 1239318 1910003 2218068 2478636 3820006 5730009 7640012 11460018 17190027 22920036 34380054 68760108 136842473 273684946 410527419 547369892 821054838 1231582257 1642109676 2463164514 4242116663 4926329028 8484233326 12726349989 16968466652 25452699978 38179049967 50905399956 76358099934 152716199868