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20498105726760 = 233523374711093851
BaseRepresentation
bin1001010100100100101100…
…10011110111011100101000
32200120121012020021011112010
410222102112103313130220
510141320110031224020
6111332411052315520
74213640111602614
oct452222623673450
980517166234463
1020498105726760
11659321a330a62
122370806172ba0
13b58c69b5476c
1450c183a68344
1525830953cde0
hex12a4964f7728

20498105726760 has 512 divisors, whose sum is σ = 67382610739200. Its totient is φ = 4973172019200.

The previous prime is 20498105726743. The next prime is 20498105726767. The reversal of 20498105726760 is 6762750189402.

It is a happy number.

It is a super-2 number, since 2×204981057267602 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20498105726760.

It is not an unprimeable number, because it can be changed into a prime (20498105726767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5322798835 + ... + 5322802685.

It is an arithmetic number, because the mean of its divisors is an integer number (131606661600).

Almost surely, 220498105726760 is an apocalyptic number.

20498105726760 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 20498105726760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33691305369600).

20498105726760 is an abundant number, since it is smaller than the sum of its proper divisors (46884505012440).

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

20498105726760 is a wasteful number, since it uses less digits than its factorization.

20498105726760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 20498105726760 in words is "twenty trillion, four hundred ninety-eight billion, one hundred five million, seven hundred twenty-six thousand, seven hundred sixty".