Search a number
-
+
28535059056000 = 273537631163
BaseRepresentation
bin1100111110011110101100…
…00011110000010110000000
310202000220222022212012022010
412133033112003300112000
512220004300104243000
6140404454122412520
76003406236000000
oct637172603602600
9122026868765263
1028535059056000
119101717a25412
12324a351661140
1312bcac95559c3
14709166000000
153473e0777d50
hex19f3d60f0580

28535059056000 has 1792 divisors, whose sum is σ = 114618071992320. Its totient is φ = 6273179136000.

The previous prime is 28535059055981. The next prime is 28535059056013. The reversal of 28535059056000 is 65095053582.

It is a super-2 number, since 2×285350590560002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 175061711919 + ... + 175061712081.

Almost surely, 228535059056000 is an apocalyptic number.

28535059056000 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 28535059056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57309035996160).

28535059056000 is an abundant number, since it is smaller than the sum of its proper divisors (86083012936320).

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

28535059056000 is an frugal number, since it uses more digits than its factorization.

28535059056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 28535059056000 in words is "twenty-eight trillion, five hundred thirty-five billion, fifty-nine million, fifty-six thousand".