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21928020973056 = 2933113717921773
BaseRepresentation
bin1001111110001100000111…
…11001101001011000000000
32212122022001111001221011000
410333012003321221120000
510333232041332114211
6114345332130452000
74422150541626312
oct477060371513000
985568044057130
1021928020973056
116a946921a45a0
122561969a34000
13c30a5a3ba6b3
1455b4713397b2
152805e8b34656
hex13f183e69600

21928020973056 has 640 divisors, whose sum is σ = 73132629926400. Its totient is φ = 6428850094080.

The previous prime is 21928020973051. The next prime is 21928020973073. The reversal of 21928020973056 is 65037902082912.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21928020972993 and 21928020973011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21928020973051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007108986 + ... + 1007130758.

It is an arithmetic number, because the mean of its divisors is an integer number (114269734260).

Almost surely, 221928020973056 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 21928020973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36566314963200).

21928020973056 is an abundant number, since it is smaller than the sum of its proper divisors (51204608953344).

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

21928020973056 is a wasteful number, since it uses less digits than its factorization.

21928020973056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22027 (or 22005 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 21928020973056 in words is "twenty-one trillion, nine hundred twenty-eight billion, twenty million, nine hundred seventy-three thousand, fifty-six".