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100245454848 = 21436711109
BaseRepresentation
bin101110101011100011…
…0000100000000000000
3100120202021111202000000
41131113012010000000
53120300314023343
6114015132000000
710146114210210
oct1352706040000
9316667452000
10100245454848
1139571a44a50
1217518000000
1395b76203b6
144bcd8b6240
15291aa71ed3
hex1757184000

100245454848 has 840 divisors, whose sum is σ = 378199335360. Its totient is φ = 25798901760.

The previous prime is 100245454843. The next prime is 100245454861. The reversal of 100245454848 is 848454542001.

100245454848 is a `hidden beast` number, since 1 + 0 + 0 + 24 + 545 + 4 + 84 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100245454843) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 919683018 + ... + 919683126.

It is an arithmetic number, because the mean of its divisors is an integer number (450237304).

Almost surely, 2100245454848 is an apocalyptic number.

100245454848 is a gapful number since it is divisible by the number (18) 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 100245454848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189099667680).

100245454848 is an abundant number, since it is smaller than the sum of its proper divisors (277953880512).

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

100245454848 is an frugal number, since it uses more digits than its factorization.

100245454848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

Adding to 100245454848 its reverse (848454542001), we get a palindrome (948699996849).

The spelling of 100245454848 in words is "one hundred billion, two hundred forty-five million, four hundred fifty-four thousand, eight hundred forty-eight".