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13922108928 = 293472131731
BaseRepresentation
bin11001111011101001…
…01000011000000000
31022221020220102010000
430331310220120000
5212003024441203
610221251040000
71002000654600
oct147564503000
938836812100
1013922108928
1159a4738552
1228465a0000
13140b4396a0
14960ddcc00
155673994a3
hex33dd28600

13922108928 has 1200 divisors, whose sum is σ = 56896608384. Its totient is φ = 3344302080.

The previous prime is 13922108927. The next prime is 13922108929. The reversal of 13922108928 is 82980122931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13922108927) and next prime (13922108929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13922108927) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 449100273 + ... + 449100303.

Almost surely, 213922108928 is an apocalyptic number.

13922108928 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 13922108928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28448304192).

13922108928 is an abundant number, since it is smaller than the sum of its proper divisors (42974499456).

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

13922108928 is a wasteful number, since it uses less digits than its factorization.

13922108928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13922108928 in words is "thirteen billion, nine hundred twenty-two million, one hundred eight thousand, nine hundred twenty-eight".