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20788902288 = 243372111937127
BaseRepresentation
bin10011010111000111…
…010111100110010000
31222122210222122202000
4103113013113212100
5320033424333123
613314510154000
71334111516400
oct232707274620
958583878660
1020788902288
1188a887aa90
1240421b2900
131c63c7341b
141012da2800
1581a14eb43
hex4d71d7990

20788902288 has 960 divisors, whose sum is σ = 82509004800. Its totient is φ = 4938071040.

The previous prime is 20788902287. The next prime is 20788902347. The reversal of 20788902288 is 88220988702.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20788902283) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163692081 + ... + 163692207.

It is an arithmetic number, because the mean of its divisors is an integer number (85946880).

Almost surely, 220788902288 is an apocalyptic number.

20788902288 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 20788902288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41254502400).

20788902288 is an abundant number, since it is smaller than the sum of its proper divisors (61720102512).

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

20788902288 is a wasteful number, since it uses less digits than its factorization.

20788902288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 20788902288 in words is "twenty billion, seven hundred eighty-eight million, nine hundred two thousand, two hundred eighty-eight".