Search a number
-
+
914670355456 = 210114132192
BaseRepresentation
bin11010100111101101001…
…10100000010000000000
310020102220221122100121201
431103312212200100000
5104441221102333311
61540105504030544
7123040245512104
oct15236646402000
93212827570551
10914670355456
11322a00630000
12129329302454
1368339c28100
14323ad91b904
1518bd54289c1
hexd4f69a0400

914670355456 has 495 divisors, whose sum is σ = 2298553609005. Its totient is φ = 363578941440.

The previous prime is 914670355427. The next prime is 914670355457. The reversal of 914670355456 is 654553076419.

It is a happy number.

The square root of 914670355456 is 956384.

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

It can be written as a sum of positive squares in only one way, i.e., 135306265600 + 779364089856 = 367840^2 + 882816^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 914670355397 and 914670355406.

It is not an unprimeable number, because it can be changed into a prime (914670355457) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48140545015 + ... + 48140545033.

Almost surely, 2914670355456 is an apocalyptic number.

914670355456 is the 956384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914670355456

914670355456 is an abundant number, since it is smaller than the sum of its proper divisors (1383883253549).

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

914670355456 is an equidigital number, since it uses as much as digits as its factorization.

914670355456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 914670355456 in words is "nine hundred fourteen billion, six hundred seventy million, three hundred fifty-five thousand, four hundred fifty-six".