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20127053537136 = 24327132791495567
BaseRepresentation
bin1001001001110001100011…
…11000000101111101110000
32122021010102222002221002100
410210320301320011331300
510114230201201142021
6110450124000220400
74145063102202330
oct444706170057560
978233388087070
1020127053537136
11645a921012a97
12231091160a700
13b2cc858ca400
144d82242990c0
1524d83e1cd626
hex124e31e05f70

20127053537136 has 360 divisors, whose sum is σ = 70589852436480. Its totient is φ = 5241037561344.

The previous prime is 20127053536963. The next prime is 20127053537167. The reversal of 20127053537136 is 63173535072102.

20127053537136 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 70 + 535 + 37 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20127053537091 and 20127053537100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12710025 + ... + 14205591.

Almost surely, 220127053537136 is an apocalyptic number.

20127053537136 is a gapful number since it is divisible by the number (26) 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 20127053537136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35294926218240).

20127053537136 is an abundant number, since it is smaller than the sum of its proper divisors (50462798899344).

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

20127053537136 is a wasteful number, since it uses less digits than its factorization.

20127053537136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495693 (or 1495671 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 20127053537136 in words is "twenty trillion, one hundred twenty-seven billion, fifty-three million, five hundred thirty-seven thousand, one hundred thirty-six".