Search a number
-
+
104804997696 = 263272412472
BaseRepresentation
bin110000110011011011…
…1010101101001000000
3101000112001002111221100
41201212313111221000
53204120034411241
6120051410454400
710400110532100
oct1414667255100
9330461074840
10104804997696
11404a1763a83
121838ab94400
139b63143a49
145103281200
152ad5ec29b6
hex1866dd5a40

104804997696 has 567 divisors, whose sum is σ = 365964336777. Its totient is φ = 28592363520.

The previous prime is 104804997683. The next prime is 104804997701. The reversal of 104804997696 is 696799408401.

The square root of 104804997696 is 323736.

It is a perfect power (a square), and thus also a powerful number.

104804997696 is a `hidden beast` number, since 1 + 0 + 4 + 80 + 499 + 7 + 69 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5050092096 + 99754905600 = 71064^2 + 315840^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2229893545 + ... + 2229893591.

Almost surely, 2104804997696 is an apocalyptic number.

104804997696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104804997696 is the 323736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104804997696

104804997696 is an abundant number, since it is smaller than the sum of its proper divisors (261159339081).

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

104804997696 is an equidigital number, since it uses as much as digits as its factorization.

104804997696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

It can be divided in two parts, 104804 and 997696, that added together give a square (1102500 = 10502).

The spelling of 104804997696 in words is "one hundred four billion, eight hundred four million, nine hundred ninety-seven thousand, six hundred ninety-six".