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20971893948 = 22319232317179
BaseRepresentation
bin10011100010000001…
…011011010010111100
32000010120022121002220
4103202001123102330
5320422301101243
613345004245340
71341463104645
oct234201332274
960116277086
1020971893948
1189920a6365
124093540850
131c92b53c05
14102d3d86cc
1582b249783
hex4e205b4bc

20971893948 has 288 divisors, whose sum is σ = 57080217600. Its totient is φ = 5967561600.

The previous prime is 20971893941. The next prime is 20971894037. The reversal of 20971893948 is 84939817902.

It is a junction number, because it is equal to n+sod(n) for n = 20971893891 and 20971893900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20971893941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265466973 + ... + 265467051.

It is an arithmetic number, because the mean of its divisors is an integer number (198195200).

Almost surely, 220971893948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20971893948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540108800).

20971893948 is an abundant number, since it is smaller than the sum of its proper divisors (36108323652).

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

20971893948 is a wasteful number, since it uses less digits than its factorization.

20971893948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 20971893948 in words is "twenty billion, nine hundred seventy-one million, eight hundred ninety-three thousand, nine hundred forty-eight".