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101944482948 = 22327311231271
BaseRepresentation
bin101111011110001011…
…1010101110010000100
3100202010200112022101200
41132330113111302010
53132240241423243
6114455504022500
710236164544000
oct1367427256204
9322120468350
10101944482948
113a264003a00
1217911001a30
1397c8619479
144d113c7700
1529b9cd2ad3
hex17bc5d5c84

101944482948 has 648 divisors, whose sum is σ = 346126435200. Its totient is φ = 25264008000.

The previous prime is 101944482931. The next prime is 101944482953. The reversal of 101944482948 is 849284449101.

101944482948 is a `hidden beast` number, since 1 + 0 + 194 + 448 + 2 + 9 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101944482894 and 101944482903.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1435837753 + ... + 1435837823.

Almost surely, 2101944482948 is an apocalyptic number.

101944482948 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 101944482948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173063217600).

101944482948 is an abundant number, since it is smaller than the sum of its proper divisors (244181952252).

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

101944482948 is a wasteful number, since it uses less digits than its factorization.

101944482948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 101944482948 in words is "one hundred one billion, nine hundred forty-four million, four hundred eighty-two thousand, nine hundred forty-eight".