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20321371834920 = 23325138385361331
BaseRepresentation
bin1001001111011011100000…
…01001100100101000101000
32122221201000100021020101100
410213231300021210220220
510130421132142204140
6111115302003521400
74165112352400002
oct447556011445050
978851010236340
1020321371834920
116525277695222
122342502389260
13b453b2a86cc0
145037b9945372
15253913940530
hex127b70264a28

20321371834920 has 384 divisors, whose sum is σ = 72067288325760. Its totient is φ = 4936042506240.

The previous prime is 20321371834919. The next prime is 20321371835021. The reversal of 20321371834920 is 2943817312302.

20321371834920 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 13 + 71 + 83 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331308655 + ... + 331369985.

It is an arithmetic number, because the mean of its divisors is an integer number (187675230015).

Almost surely, 220321371834920 is an apocalyptic number.

20321371834920 is a gapful number since it is divisible by the number (20) 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 20321371834920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36033644162880).

20321371834920 is an abundant number, since it is smaller than the sum of its proper divisors (51745916490840).

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

20321371834920 is a wasteful number, since it uses less digits than its factorization.

20321371834920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62297 (or 62290 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20321371834920 in words is "twenty trillion, three hundred twenty-one billion, three hundred seventy-one million, eight hundred thirty-four thousand, nine hundred twenty".