Search a number
-
+
86455023300 = 223352299711383
BaseRepresentation
bin101000010000100011…
…1101111011011000100
322021011012101020022000
41100201013233123010
52404024441221200
6103414503105300
76150302400342
oct1204107573304
9267135336260
1086455023300
1133735674688
1214909742230
1381ca568b29
144282192992
1523b0038300
hex14211ef6c4

86455023300 has 288 divisors, whose sum is σ = 290510572800. Its totient is φ = 22028267520.

The previous prime is 86455023293. The next prime is 86455023323. The reversal of 86455023300 is 332055468.

It is a happy number.

86455023300 is a `hidden beast` number, since 8 + 645 + 5 + 0 + 2 + 3 + 3 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7589409 + ... + 7600791.

Almost surely, 286455023300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86455023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145255286400).

86455023300 is an abundant number, since it is smaller than the sum of its proper divisors (204055549500).

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

86455023300 is a wasteful number, since it uses less digits than its factorization.

86455023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 86455023300 its reverse (332055468), we get a palindrome (86787078768).

The spelling of 86455023300 in words is "eighty-six billion, four hundred fifty-five million, twenty-three thousand, three hundred".