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20671731000 = 2332538327673
BaseRepresentation
bin10011010000001000…
…011001010100111000
31222100122111201221200
4103100020121110320
5314313430343000
613255122534200
71331156546214
oct232010312470
958318451850
1020671731000
118848720508
12400ab07360
131c458c9bbb
1410015c1944
1580ec07500
hex4d0219538

20671731000 has 192 divisors, whose sum is σ = 70714818720. Its totient is φ = 5445849600.

The previous prime is 20671730993. The next prime is 20671731037. The reversal of 20671731000 is 13717602.

It is a super-2 number, since 2×206717310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733164 + ... + 760836.

Almost surely, 220671731000 is an apocalyptic number.

20671731000 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 20671731000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35357409360).

20671731000 is an abundant number, since it is smaller than the sum of its proper divisors (50043087720).

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

20671731000 is a wasteful number, since it uses less digits than its factorization.

20671731000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27783 (or 27766 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 20671731000 in words is "twenty billion, six hundred seventy-one million, seven hundred thirty-one thousand".