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20901823488 = 2103271324923
BaseRepresentation
bin10011011101110110…
…001000010000000000
31222221200110122111200
4103131312020100000
5320301331322423
613334022341200
71336652365620
oct233566102000
958850418450
1020901823488
118956597397
124073b8a800
131c8148c2c0
141023d98880
15825007d43
hex4ddd88400

20901823488 has 264 divisors, whose sum is σ = 74284287168. Its totient is φ = 5512347648.

The previous prime is 20901823483. The next prime is 20901823489. The reversal of 20901823488 is 88432810902.

20901823488 is a `hidden beast` number, since 2 + 0 + 90 + 1 + 82 + 3 + 488 = 666.

It is a super-2 number, since 2×209018234882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20901823483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826195 + ... + 851117.

Almost surely, 220901823488 is an apocalyptic number.

20901823488 is a gapful number since it is divisible by the number (28) 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 20901823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37142143584).

20901823488 is an abundant number, since it is smaller than the sum of its proper divisors (53382463680).

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

20901823488 is a wasteful number, since it uses less digits than its factorization.

20901823488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24969 (or 24948 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20901823488 in words is "twenty billion, nine hundred one million, eight hundred twenty-three thousand, four hundred eighty-eight".