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20411352000 = 263453132423
BaseRepresentation
bin10011000000100111…
…001000001111000000
31221200111120010010000
4103000213020033000
5313300301231000
613213222040000
71321545425604
oct230047101700
957614503100
1020411352000
118724748956
123b57879000
131c039922a0
14db8ba3504
157e6e23000
hex4c09c83c0

20411352000 has 560 divisors, whose sum is σ = 81353143872. Its totient is φ = 5022259200.

The previous prime is 20411351999. The next prime is 20411352007. The reversal of 20411352000 is 25311402.

20411352000 is a `hidden beast` number, since 20 + 411 + 35 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411352007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8422789 + ... + 8425211.

Almost surely, 220411352000 is an apocalyptic number.

20411352000 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 20411352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40676571936).

20411352000 is an abundant number, since it is smaller than the sum of its proper divisors (60941791872).

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

20411352000 is a wasteful number, since it uses less digits than its factorization.

20411352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20411352000 its reverse (25311402), we get a palindrome (20436663402).

The spelling of 20411352000 in words is "twenty billion, four hundred eleven million, three hundred fifty-two thousand".