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20155322880 = 293357211541
BaseRepresentation
bin10010110001010110…
…011101001000000000
31221000122210111012000
4102301112131020000
5312234230313010
613131554304000
71312316263200
oct226126351000
957018714160
1020155322880
118603177440
123aa5b88000
131b9291b574
14d92b98400
157ce6ec7c0
hex4b159d200

20155322880 has 960 divisors, whose sum is σ = 91021138560. Its totient is φ = 4180377600.

The previous prime is 20155322867. The next prime is 20155322923. The reversal of 20155322880 is 8822355102.

20155322880 is a `hidden beast` number, since 2 + 0 + 1 + 553 + 2 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 37255410 + ... + 37255950.

It is an arithmetic number, because the mean of its divisors is an integer number (94813686).

Almost surely, 220155322880 is an apocalyptic number.

20155322880 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 20155322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45510569280).

20155322880 is an abundant number, since it is smaller than the sum of its proper divisors (70865815680).

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

20155322880 is a wasteful number, since it uses less digits than its factorization.

20155322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 20155322880 its reverse (8822355102), we get a palindrome (28977677982).

The spelling of 20155322880 in words is "twenty billion, one hundred fifty-five million, three hundred twenty-two thousand, eight hundred eighty".