Search a number
-
+
194467990752 = 2534719312587
BaseRepresentation
bin1011010100011100110…
…0100000110011100000
3200120221210211111110000
42311013030200303200
511141232301201002
6225200511540000
720023045435110
oct2650714406340
9616853744400
10194467990752
1175523124832
1231832b2a600
13154521abb19
1495ab4d5040
1550d298061c
hex2d47320ce0

194467990752 has 720 divisors, whose sum is σ = 712151637120. Its totient is φ = 50853173760.

The previous prime is 194467990723. The next prime is 194467990753. The reversal of 194467990752 is 257099764491.

194467990752 is a `hidden beast` number, since 19 + 4 + 467 + 9 + 90 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 194467990752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194467990753) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 331291003 + ... + 331291589.

It is an arithmetic number, because the mean of its divisors is an integer number (989099496).

Almost surely, 2194467990752 is an apocalyptic number.

194467990752 is a gapful number since it is divisible by the number (12) 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 194467990752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356075818560).

194467990752 is an abundant number, since it is smaller than the sum of its proper divisors (517683646368).

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

194467990752 is a wasteful number, since it uses less digits than its factorization.

194467990752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 194467990752 in words is "one hundred ninety-four billion, four hundred sixty-seven million, nine hundred ninety thousand, seven hundred fifty-two".