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20088666624 = 2931317233183
BaseRepresentation
bin10010101101011000…
…001011101000000000
31220212000100222222210
4102231120023220000
5312120144312444
613121213502120
71310546564115
oct225530135000
956760328883
1020088666624
11857958a624
123a877a1940
131b81b809b0
14d87da690c
157c89327b9
hex4ad60ba00

20088666624 has 640 divisors, whose sum is σ = 66523742208. Its totient is φ = 5320212480.

The previous prime is 20088666613. The next prime is 20088666629. The reversal of 20088666624 is 42666688002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20088666629) 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 63 ways as a sum of consecutive naturals, for example, 242032087 + ... + 242032169.

Almost surely, 220088666624 is an apocalyptic number.

20088666624 is a gapful number since it is divisible by the number (24) 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 20088666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33261871104).

20088666624 is an abundant number, since it is smaller than the sum of its proper divisors (46435075584).

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

20088666624 is a wasteful number, since it uses less digits than its factorization.

20088666624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 20088666624 in words is "twenty billion, eighty-eight million, six hundred sixty-six thousand, six hundred twenty-four".