Search a number
-
+
19396952064 = 21736729
BaseRepresentation
bin10010000100001001…
…100000000000000000
31212001210210021000000
4102010021200000000
5304211104431224
612524424000000
71254450241440
oct220411400000
955053707000
1019396952064
11825408a1a6
123914000000
131aa1782939
14d20188120
15787d4a0c9
hex484260000

19396952064 has 504 divisors, whose sum is σ = 68765351760. Its totient is φ = 5350883328.

The previous prime is 19396952053. The next prime is 19396952117. The reversal of 19396952064 is 46025969391.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×193969520642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 19396952064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 668860402 + ... + 668860430.

It is an arithmetic number, because the mean of its divisors is an integer number (136439190).

Almost surely, 219396952064 is an apocalyptic number.

19396952064 is a gapful number since it is divisible by the number (14) 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 19396952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34382675880).

19396952064 is an abundant number, since it is smaller than the sum of its proper divisors (49368399696).

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

19396952064 is an frugal number, since it uses more digits than its factorization.

19396952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 19396952064 in words is "nineteen billion, three hundred ninety-six million, nine hundred fifty-two thousand, sixty-four".