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BaseRepresentation
bin1001000110000111110010…
…10000101100001000000000
32121211010111101100222010112
410203003321100230020000
510110201133201211000
6110312330212050452
74133031021462266
oct443037120541000
977733441328115
1020001549632000
116411678367542
1222b0526603a28
13b211a4362a51
144d2119da0436
1524a445e36235
hex1230f942c200

20001549632000 has 320 divisors, whose sum is σ = 52052083855200. Its totient is φ = 7656295628800.

The previous prime is 20001549631993. The next prime is 20001549632047. The reversal of 20001549632000 is 23694510002.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 10064730870016 + 9936818761984 = 3172496^2 + 3152272^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209680316 + ... + 209775684.

Almost surely, 220001549632000 is an apocalyptic number.

20001549632000 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 20001549632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26026041927600).

20001549632000 is an abundant number, since it is smaller than the sum of its proper divisors (32050534223200).

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

20001549632000 is an equidigital number, since it uses as much as digits as its factorization.

20001549632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95544 (or 95518 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 20001549632000 in words is "twenty trillion, one billion, five hundred forty-nine million, six hundred thirty-two thousand".