Search a number
-
+
192028681561536 = 2633376774436413
BaseRepresentation
bin101011101010011000101001…
…010110011110010111000000
3221011220202120222122221112000
4223222120221112132113000
5200132144214434432121
61520224431454504000
755306420512460221
oct5352305126362700
9834822528587460
10192028681561536
11562059a7622886
1219654540b05000
13831c2c486a411
14355c34866d248
15173019011e526
hexaea62959e5c0

192028681561536 has 224 divisors, whose sum is σ = 580642833103680. Its totient is φ = 62187564920832.

The previous prime is 192028681561513. The next prime is 192028681561537. The reversal of 192028681561536 is 635165186820291.

192028681561536 is a `hidden beast` number, since 1 + 9 + 2 + 0 + 2 + 8 + 6 + 8 + 1 + 5 + 615 + 3 + 6 = 666.

It is a super-2 number, since 2×1920286815615362 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192028681561537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41066466 + ... + 45502878.

Almost surely, 2192028681561536 is an apocalyptic number.

192028681561536 is a gapful number since it is divisible by the number (16) 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 192028681561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290321416551840).

192028681561536 is an abundant number, since it is smaller than the sum of its proper divisors (388614151542144).

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

192028681561536 is a wasteful number, since it uses less digits than its factorization.

192028681561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437148 (or 4437132 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 192028681561536 in words is "one hundred ninety-two trillion, twenty-eight billion, six hundred eighty-one million, five hundred sixty-one thousand, five hundred thirty-six".