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20310052752 = 2435113115319
BaseRepresentation
bin10010111010100100…
…101100111110010000
31221102102221120200000
4102322210230332100
5313043333142002
613155202530000
71316205412533
oct227244547620
957372846600
1020310052752
11868254a270
123b29966900
131bb89b52c2
14da9554a1a
157dd0b361c
hex4ba92cf90

20310052752 has 240 divisors, whose sum is σ = 66382417920. Its totient is φ = 5955638400.

The previous prime is 20310052747. The next prime is 20310052817. The reversal of 20310052752 is 25725001302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318149 + ... + 1333467.

It is an arithmetic number, because the mean of its divisors is an integer number (276593408).

Almost surely, 220310052752 is an apocalyptic number.

20310052752 is a gapful number since it is divisible by the number (22) 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 20310052752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33191208960).

20310052752 is an abundant number, since it is smaller than the sum of its proper divisors (46072365168).

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

20310052752 is a wasteful number, since it uses less digits than its factorization.

20310052752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15384 (or 15366 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 20310052752 in words is "twenty billion, three hundred ten million, fifty-two thousand, seven hundred fifty-two".