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20210021328 = 24371743107769
BaseRepresentation
bin10010110100100111…
…000111001111010000
31221011110201110100110
4102310213013033100
5312342231140303
613141230521320
71313552226660
oct226447071720
957143643313
1020210021328
118631037172
123b00366240
131ba1060403
14d9a1561a0
157d4404703
hex4b49c73d0

20210021328 has 320 divisors, whose sum is σ = 65335818240. Its totient is φ = 5251792896.

The previous prime is 20210021257. The next prime is 20210021329. The reversal of 20210021328 is 82312001202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210021329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26280528 + ... + 26281296.

It is an arithmetic number, because the mean of its divisors is an integer number (204174432).

Almost surely, 220210021328 is an apocalyptic number.

20210021328 is a gapful number since it is divisible by the number (28) 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 20210021328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32667909120).

20210021328 is an abundant number, since it is smaller than the sum of its proper divisors (45125796912).

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

20210021328 is a wasteful number, since it uses less digits than its factorization.

20210021328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 20210021328 in words is "twenty billion, two hundred ten million, twenty-one thousand, three hundred twenty-eight".