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20156548893840 = 243653153210359
BaseRepresentation
bin1001001010101000011111…
…11011111100110010010000
32122100221120112211022000000
410211110033323330302100
510120221103004100330
6110511442444130000
74150156033455042
oct445241773746220
978327515738000
1020156548893840
116471387409047
122316583536900
13b329a6572ab8
144d982169da92
1524e4b8873560
hex12550fefcc90

20156548893840 has 560 divisors, whose sum is σ = 73899245859840. Its totient is φ = 5103520680960.

The previous prime is 20156548893829. The next prime is 20156548893863. The reversal of 20156548893840 is 4839884565102.

20156548893840 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 6 + 548 + 8 + 9 + 3 + 84 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 95714581 + ... + 95924939.

Almost surely, 220156548893840 is an apocalyptic number.

20156548893840 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 20156548893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36949622929920).

20156548893840 is an abundant number, since it is smaller than the sum of its proper divisors (53742696966000).

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

20156548893840 is a wasteful number, since it uses less digits than its factorization.

20156548893840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210474 (or 210453 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 20156548893840 in words is "twenty trillion, one hundred fifty-six billion, five hundred forty-eight million, eight hundred ninety-three thousand, eight hundred forty".