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20111986020672 = 26347131716715017
BaseRepresentation
bin1001001001010101011111…
…10010000101000101000000
32122012200112212220210020000
410210222233302011011000
510114003321410130142
6110435152511120000
74144020522342030
oct444525762050500
978180485823200
1020111986020672
116454499876947
122309a07513000
13b2b7240a20b0
144d75d50db8c0
1524d25b4ce14c
hex124aafc85140

20111986020672 has 1120 divisors, whose sum is σ = 78162960572928. Its totient is φ = 4962020622336.

The previous prime is 20111986020613. The next prime is 20111986020673. The reversal of 20111986020672 is 27602068911102.

20111986020672 is a `hidden beast` number, since 20 + 1 + 1 + 19 + 8 + 602 + 0 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×201119860206722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111986020673) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1339273708 + ... + 1339288724.

Almost surely, 220111986020672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111986020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39081480286464).

20111986020672 is an abundant number, since it is smaller than the sum of its proper divisors (58050974552256).

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

20111986020672 is a wasteful number, since it uses less digits than its factorization.

20111986020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15245 (or 15226 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 20111986020672 in words is "twenty trillion, one hundred eleven billion, nine hundred eighty-six million, twenty thousand, six hundred seventy-two".