Search a number
-
+
194703828480 = 29325721929313
BaseRepresentation
bin1011010101010101000…
…0001010011000000000
3200121120020121021222200
42311111100022120000
511142223140002410
6225240134433200
720031641143500
oct2652520123000
9617506537880
10194703828480
1175634265147
1231899b02800
131548c003285
1495d0965a00
1550e85183c0
hex2d5540a600

194703828480 has 1440 divisors, whose sum is σ = 856891807200. Its totient is φ = 40577531904.

The previous prime is 194703828469. The next prime is 194703828521. The reversal of 194703828480 is 84828307491.

It is a happy number.

194703828480 is a `hidden beast` number, since 1 + 94 + 70 + 3 + 8 + 2 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1947038284802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 622056804 + ... + 622057116.

It is an arithmetic number, because the mean of its divisors is an integer number (595063755).

Almost surely, 2194703828480 is an apocalyptic number.

194703828480 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 194703828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428445903600).

194703828480 is an abundant number, since it is smaller than the sum of its proper divisors (662187978720).

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

194703828480 is a wasteful number, since it uses less digits than its factorization.

194703828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 194703828480 in words is "one hundred ninety-four billion, seven hundred three million, eight hundred twenty-eight thousand, four hundred eighty".