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20374736139072 = 2632797103505781
BaseRepresentation
bin1001010000111110111001…
…11010001111001101000000
32200010210202101121202200200
410220133130322033031000
510132304424422422242
6111200005150045200
74202011645446450
oct450373472171500
980123671552620
1020374736139072
116545971422827
122350915aa9800
13b4a438832133
145061dcdcdd60
15254ed883b04c
hex1287dce8f340

20374736139072 has 336 divisors, whose sum is σ = 68086317341952. Its totient is φ = 5705392619520.

The previous prime is 20374736139071. The next prime is 20374736139101. The reversal of 20374736139072 is 27093163747302.

20374736139072 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 473 + 6 + 13 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20374736139071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40030822 + ... + 40536602.

It is an arithmetic number, because the mean of its divisors is an integer number (202637849232).

Almost surely, 220374736139072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20374736139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34043158670976).

20374736139072 is an abundant number, since it is smaller than the sum of its proper divisors (47711581202880).

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

20374736139072 is a wasteful number, since it uses less digits than its factorization.

20374736139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506006 (or 505993 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 20374736139072 in words is "twenty trillion, three hundred seventy-four billion, seven hundred thirty-six million, one hundred thirty-nine thousand, seventy-two".