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20707798800 = 243521313110133
BaseRepresentation
bin10011010010010001…
…111110111100010000
31222110011101011200010
4103102101332330100
5314402144030200
613302451554520
71332105246153
oct232221767420
958404334603
1020707798800
118867015807
12401abbba40
131c502179b0
1410062cdc9a
15812e7e150
hex4d247ef10

20707798800 has 240 divisors, whose sum is σ = 71989017408. Its totient is φ = 5057894400.

The previous prime is 20707798777. The next prime is 20707798871. The reversal of 20707798800 is 889770702.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×207077988002 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20707798800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2038534 + ... + 2048666.

Almost surely, 220707798800 is an apocalyptic number.

20707798800 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 20707798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35994508704).

20707798800 is an abundant number, since it is smaller than the sum of its proper divisors (51281218608).

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

20707798800 is a wasteful number, since it uses less digits than its factorization.

20707798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 20707798800 in words is "twenty billion, seven hundred seven million, seven hundred ninety-eight thousand, eight hundred".