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20321402880 = 222351719
BaseRepresentation
bin10010111011010000…
…000000000000000000
31221110020022020010010
4102323100000000000
5313104234343010
613200250104520
71316404034352
oct227320000000
957406266103
1020321402880
1186889a1839
123b3171b140
131bbb15a55c
14daac6b0d2
157de0a6620
hex4bb400000

20321402880 has 368 divisors, whose sum is σ = 72477564480. Its totient is φ = 4831838208.

The previous prime is 20321402879. The next prime is 20321402887. The reversal of 20321402880 is 8820412302.

It is a super-2 number, since 2×203214028802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321402887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069547511 + ... + 1069547529.

Almost surely, 220321402880 is an apocalyptic number.

20321402880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20321402880 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238782240).

20321402880 is an abundant number, since it is smaller than the sum of its proper divisors (52156161600).

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

20321402880 is an frugal number, since it uses more digits than its factorization.

20321402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 20321402880 in words is "twenty billion, three hundred twenty-one million, four hundred two thousand, eight hundred eighty".