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20183611387968 = 26327231632635077
BaseRepresentation
bin1001001011011010111001…
…11111001011000001000000
32122110112102120200102212100
410211231130333023001000
510121142014003403333
6110532120103230400
74152134464043610
oct445553477130100
978415376612770
1020183611387968
116481904496476
12231b876748400
13b353ca194932
144dac6b92ca40
1525004e650213
hex125b5cfcb040

20183611387968 has 672 divisors, whose sum is σ = 69692938039296. Its totient is φ = 5460256935936.

The previous prime is 20183611387939. The next prime is 20183611387969. The reversal of 20183611387968 is 86978311638102.

20183611387968 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 3 + 611 + 3 + 8 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20183611387969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3975497046 + ... + 3975502122.

Almost surely, 220183611387968 is an apocalyptic number.

20183611387968 is a gapful number since it is divisible by the number (28) 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 20183611387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34846469019648).

20183611387968 is an abundant number, since it is smaller than the sum of its proper divisors (49509326651328).

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

20183611387968 is a wasteful number, since it uses less digits than its factorization.

20183611387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 20183611387968 in words is "twenty trillion, one hundred eighty-three billion, six hundred eleven million, three hundred eighty-seven thousand, nine hundred sixty-eight".