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100468003249 = 1494011681501
BaseRepresentation
bin101110110010001011…
…1000001000110110001
3100121022210021101000101
41131210113001012301
53121224302100444
6114053201552401
710154455636315
oct1354427010661
9317283241011
10100468003249
1139676628949
121757a645701
139621770a43
144c11287b45
1529303823d4
hex17645c11b1

100468003249 has 8 divisors (see below), whose sum is σ = 101394570600. Its totient is φ = 99544800000.

The previous prime is 100468003189. The next prime is 100468003291. The reversal of 100468003249 is 942300864001.

It can be written as a sum of positive squares in 4 ways, for example, as 49241829025 + 51226174224 = 221905^2 + 226332^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100468003249 - 29 = 100468002737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100468003049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 781002 + ... + 900499.

It is an arithmetic number, because the mean of its divisors is an integer number (12674321325).

Almost surely, 2100468003249 is an apocalyptic number.

It is an amenable number.

100468003249 is a deficient number, since it is larger than the sum of its proper divisors (926567351).

100468003249 is a wasteful number, since it uses less digits than its factorization.

100468003249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682051.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 100468003249 in words is "one hundred billion, four hundred sixty-eight million, three thousand, two hundred forty-nine".

Divisors: 1 149 401 59749 1681501 250543649 674281901 100468003249