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20001150720 = 28335432313
BaseRepresentation
bin10010101000001010…
…010101011100000000
31220121220200201202000
4102220022111130000
5311430243310340
613104410024000
71305434655525
oct225012253400
956556621660
1020001150720
118534145631
123a62418000
131b699bb635
14d7a50514c
157c0de6d30
hex4a8295700

20001150720 has 432 divisors, whose sum is σ = 72897461280. Its totient is φ = 5192957952.

The previous prime is 20001150707. The next prime is 20001150731. The reversal of 20001150720 is 2705110002.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 20001150693 and 20001150702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63901284 + ... + 63901596.

Almost surely, 220001150720 is an apocalyptic number.

20001150720 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 20001150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36448730640).

20001150720 is an abundant number, since it is smaller than the sum of its proper divisors (52896310560).

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

20001150720 is an equidigital number, since it uses as much as digits as its factorization.

20001150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 20001150720 its reverse (2705110002), we get a palindrome (22706260722).

The spelling of 20001150720 in words is "twenty billion, one million, one hundred fifty thousand, seven hundred twenty".