Search a number
-
+
189016052958468 = 223236231449198431
BaseRepresentation
bin101010111110100010111010…
…101100011000010100000100
3220210020202110201110011102100
4222332202322230120110010
5144233314334024132333
61510000435340312100
754545646666040311
oct5276427254302404
9823222421404370
10189016052958468
115525429229076a
12192486b1842630
1381611a28a3c28
1434965d6487d08
1516cbb1bd8c213
hexabe8bab18504

189016052958468 has 36 divisors (see below), whose sum is σ = 477922455698688. Its totient is φ = 62987960561520.

The previous prime is 189016052958437. The next prime is 189016052958479. The reversal of 189016052958468 is 864859250610981.

189016052958468 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 1 + 6 + 0 + 529 + 58 + 46 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 189016052958396 and 189016052958405.

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, 724468788 + ... + 724729643.

It is an arithmetic number, because the mean of its divisors is an integer number (13275623769408).

Almost surely, 2189016052958468 is an apocalyptic number.

189016052958468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189016052958468 is an abundant number, since it is smaller than the sum of its proper divisors (288906402740220).

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

189016052958468 is a wasteful number, since it uses less digits than its factorization.

189016052958468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449202064 (or 1449202059 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 189016052958468 in words is "one hundred eighty-nine trillion, sixteen billion, fifty-two million, nine hundred fifty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3623 7246 10869 14492 21738 32607 43476 65214 130428 1449198431 2898396862 4347595293 5796793724 8695190586 13042785879 17390381172 26085571758 52171143516 5250445915513 10500891831026 15751337746539 21001783662052 31502675493078 47254013239617 63005350986156 94508026479234 189016052958468