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20197413020160 = 2933541591131069
BaseRepresentation
bin1001001011110100100111…
…01000001110001000000000
32122111212001102212222222000
410211322103220032020000
510121403300213121120
6110542321412144000
74153133503013415
oct445722350161000
978455042788860
1020197413020160
116487747116a72
122322488908000
13b367b966b3bc
144db7ba92a10c
152505ab14c990
hex125e93a0e200

20197413020160 has 1280 divisors, whose sum is σ = 75470294592000. Its totient is φ = 5115048099840.

The previous prime is 20197413020159. The next prime is 20197413020167. The reversal of 20197413020160 is 6102031479102.

20197413020160 is a `hidden beast` number, since 2 + 0 + 197 + 4 + 1 + 302 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20197413020167) 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 127 ways as a sum of consecutive naturals, for example, 18893744106 + ... + 18893745174.

It is an arithmetic number, because the mean of its divisors is an integer number (58961167650).

Almost surely, 220197413020160 is an apocalyptic number.

20197413020160 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 20197413020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37735147296000).

20197413020160 is an abundant number, since it is smaller than the sum of its proper divisors (55272881571840).

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

20197413020160 is a wasteful number, since it uses less digits than its factorization.

20197413020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 20197413020160 its reverse (6102031479102), we get a palindrome (26299444499262).

The spelling of 20197413020160 in words is "twenty trillion, one hundred ninety-seven billion, four hundred thirteen million, twenty thousand, one hundred sixty".