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20823106483200 = 21035272191811609
BaseRepresentation
bin1001011110000010000011…
…10111010111010000000000
32201201200002002112012201110
410233001001313113100000
510212131210224430300
6112142000354403320
74246263663500100
oct457010167272000
981650062465643
1020823106483200
1166a903683063a
1224037a8290540
13b807c23c2c78
1451dbb52ad200
152619cb9bd550
hex12f041dd7400

20823106483200 has 1584 divisors, whose sum is σ = 84789415838400. Its totient is φ = 4481364787200.

The previous prime is 20823106483187. The next prime is 20823106483261. The reversal of 20823106483200 is 238460132802.

It is a super-2 number, since 2×208231064832002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12941643996 + ... + 12941645604.

Almost surely, 220823106483200 is an apocalyptic number.

20823106483200 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 20823106483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42394707919200).

20823106483200 is an abundant number, since it is smaller than the sum of its proper divisors (63966309355200).

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

20823106483200 is a wasteful number, since it uses less digits than its factorization.

20823106483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 20823106483200 in words is "twenty trillion, eight hundred twenty-three billion, one hundred six million, four hundred eighty-three thousand, two hundred".