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20069379809400 = 23352331373270923
BaseRepresentation
bin1001001000000110001000…
…10000010010000001111000
32122001121120120210222222010
410210003010100102001320
510112304042212400100
6110403425032125520
74140651640460445
oct444030420220170
978047516728863
1020069379809400
116438415770799
1223016b68368a0
13b276c40b36ac
144d55127529cc
1524c0b5cdb750
hex1240c4412078

20069379809400 has 192 divisors, whose sum is σ = 62570569691520. Its totient is φ = 5321341555200.

The previous prime is 20069379809377. The next prime is 20069379809429. The reversal of 20069379809400 is 490897396002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73942339 + ... + 74213261.

It is an arithmetic number, because the mean of its divisors is an integer number (325888383810).

Almost surely, 220069379809400 is an apocalyptic number.

20069379809400 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 20069379809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31285284845760).

20069379809400 is an abundant number, since it is smaller than the sum of its proper divisors (42501189882120).

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

20069379809400 is a wasteful number, since it uses less digits than its factorization.

20069379809400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271646 (or 271637 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 20069379809400 in words is "twenty trillion, sixty-nine billion, three hundred seventy-nine million, eight hundred nine thousand, four hundred".