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20504120000 = 265471343131
BaseRepresentation
bin10011000110001001…
…000000101011000000
31221220222010012212212
4103012021000223000
5313443023320000
613230334241252
71324053100340
oct230611005300
957828105785
1020504120000
11877204a921
123b82956228
131c19c730b0
14dc7230d20
15800149c35
hex4c6240ac0

20504120000 has 560 divisors, whose sum is σ = 64520746752. Its totient is φ = 6289920000.

The previous prime is 20504119991. The next prime is 20504120027. The reversal of 20504120000 is 2140502.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156519935 + ... + 156520065.

Almost surely, 220504120000 is an apocalyptic number.

20504120000 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 20504120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32260373376).

20504120000 is an abundant number, since it is smaller than the sum of its proper divisors (44016626752).

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

20504120000 is a wasteful number, since it uses less digits than its factorization.

20504120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 20504120000 its reverse (2140502), we get a palindrome (20506260502).

The spelling of 20504120000 in words is "twenty billion, five hundred four million, one hundred twenty thousand".