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20350391743440 = 243851133710459
BaseRepresentation
bin1001010000010001100011…
…10111101111001111010000
32200001110220210100100000000
410220020301313233033100
510131410100241242230
6111140501345130000
74200160451503203
oct450106167571720
980043823310000
1020350391743440
116536609672aa0
122348061029900
13b480590927c5
14504d6db4593a
152545614bbb60
hex128231def3d0

20350391743440 has 720 divisors, whose sum is σ = 77657214173760. Its totient is φ = 4918318755840.

The previous prime is 20350391743427. The next prime is 20350391743441. The reversal of 20350391743440 is 4434719305302.

20350391743440 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 0 + 39 + 174 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×203503917434402 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20350391743441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1945724931 + ... + 1945735389.

It is an arithmetic number, because the mean of its divisors is an integer number (107857241908).

Almost surely, 220350391743440 is an apocalyptic number.

20350391743440 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 20350391743440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38828607086880).

20350391743440 is an abundant number, since it is smaller than the sum of its proper divisors (57306822430320).

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

20350391743440 is a wasteful number, since it uses less digits than its factorization.

20350391743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10844 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 20350391743440 in words is "twenty trillion, three hundred fifty billion, three hundred ninety-one million, seven hundred forty-three thousand, four hundred forty".