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20427306700000 = 25558916314081
BaseRepresentation
bin1001010010100000110100…
…10111000000110011100000
32200022211110010101221222211
410221100122113000303200
510134140111003400000
6111240101455411504
74205552463032104
oct451203227006340
980284403357884
1020427306700000
1165661991032a2
12235ab47823b94
13b52396008215
14508988c9b904
15256563be87ba
hex12941a5c0ce0

20427306700000 has 288 divisors, whose sum is σ = 51147391044960. Its totient is φ = 8028979200000.

The previous prime is 20427306699991. The next prime is 20427306700001. The reversal of 20427306700000 is 760372402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20427306700001) 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 47 ways as a sum of consecutive naturals, for example, 1450692960 + ... + 1450707040.

It is an arithmetic number, because the mean of its divisors is an integer number (177595107795).

Almost surely, 220427306700000 is an apocalyptic number.

20427306700000 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 20427306700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25573695522480).

20427306700000 is an abundant number, since it is smaller than the sum of its proper divisors (30720084344960).

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

20427306700000 is an equidigital number, since it uses as much as digits as its factorization.

20427306700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368 (or 14340 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 20427306700000 in words is "twenty trillion, four hundred twenty-seven billion, three hundred six million, seven hundred thousand".