Search a number
-
+
190469412000 = 25325371634637
BaseRepresentation
bin1011000101100011011…
…1001001010010100000
3200012122010210122120200
42301120313021102200
511110040132141000
6223300032305200
716522003201110
oct2613067112240
9605563718520
10190469412000
117386102139a
1230ab79a2200
1314c659672aa
14930c431040
154e4b8db500
hex2c58dc94a0

190469412000 has 576 divisors, whose sum is σ = 777451094784. Its totient is φ = 43259443200.

The previous prime is 190469411999. The next prime is 190469412013. The reversal of 190469412000 is 214964091.

It is a happy number.

190469412000 is a `hidden beast` number, since 190 + 469 + 4 + 1 + 2 + 0 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41073682 + ... + 41078318.

It is an arithmetic number, because the mean of its divisors is an integer number (1349741484).

Almost surely, 2190469412000 is an apocalyptic number.

190469412000 is a gapful number since it is divisible by the number (10) 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 190469412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388725547392).

190469412000 is an abundant number, since it is smaller than the sum of its proper divisors (586981682784).

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

190469412000 is a wasteful number, since it uses less digits than its factorization.

190469412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 190469412000 in words is "one hundred ninety billion, four hundred sixty-nine million, four hundred twelve thousand".