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914509690000 = 24547321312
BaseRepresentation
bin11010100111011010000…
…01100111010010010000
310020102111202022201001021
431103231001213102100
5104440403440040000
61540041524245224
7123033255051514
oct15235501472220
93212452281037
10914509690000
11322928973735
121292a3540814
13683128637aa
1432396458144
1518bc628e11a
hexd4ed067490

914509690000 has 225 divisors, whose sum is σ = 2262132486669. Its totient is φ = 358038720000.

The previous prime is 914509689937. The next prime is 914509690009. The reversal of 914509690000 is 96905419.

The square root of 914509690000 is 956300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 648649830544 + 265859859456 = 805388^2 + 515616^2 .

It is a super-2 number, since 2×9145096900002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (914509690009) 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, 6980989935 + ... + 6980990065.

Almost surely, 2914509690000 is an apocalyptic number.

914509690000 is the 956300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914509690000

914509690000 is an abundant number, since it is smaller than the sum of its proper divisors (1347622796669).

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

914509690000 is an frugal number, since it uses more digits than its factorization.

914509690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The spelling of 914509690000 in words is "nine hundred fourteen billion, five hundred nine million, six hundred ninety thousand".