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20127246713127 = 32731012141141671
BaseRepresentation
bin1001001001110001111010…
…11001000000000100100111
32122021010221102121021201200
410210320331121000010213
510114231100124310002
6110450155100453543
74145100636155541
oct444707531000447
978233842537650
1020127246713127
11645aa10064a74
12231096624a2b3
13b2ccb6935628
144d8241bc2691
1524d85113ab1c
hex124e3d640127

20127246713127 has 48 divisors (see below), whose sum is σ = 29776848768576. Its totient is φ = 13097108160000.

The previous prime is 20127246713081. The next prime is 20127246713131. The reversal of 20127246713127 is 72131764272102.

20127246713127 is a `hidden beast` number, since 2 + 0 + 1 + 27 + 246 + 71 + 312 + 7 = 666.

It is not a de Polignac number, because 20127246713127 - 210 = 20127246712103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20127246753127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141999502 + ... + 142141172.

It is an arithmetic number, because the mean of its divisors is an integer number (620351016012).

Almost surely, 220127246713127 is an apocalyptic number.

20127246713127 is a deficient number, since it is larger than the sum of its proper divisors (9649602055449).

20127246713127 is a wasteful number, since it uses less digits than its factorization.

20127246713127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143992 (or 143989 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 20127246713127 in words is "twenty trillion, one hundred twenty-seven billion, two hundred forty-six million, seven hundred thirteen thousand, one hundred twenty-seven".

Divisors: 1 3 9 73 101 219 303 657 909 2141 6423 7373 19269 22119 66357 141671 156293 216241 425013 468879 648723 1275039 1406637 1946169 10341983 14308771 15785593 31025949 42926313 47356779 93077847 128778939 142070337 303317611 909952833 1044540283 2729858499 3133620849 9400862547 22142185603 30635078711 66426556809 91905236133 199279670427 275715708399 2236360745903 6709082237709 20127246713127