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20006993280 = 2735293167173
BaseRepresentation
bin10010101000100000…
…100111110110000000
31220122022200120020010
4102220200213312000
5311433242241110
613105135144520
71305535431321
oct225040476600
956568616203
1020006993280
11853747619a
123a64375140
131b6ac85a81
14d7b1c6448
157c169d020
hex4a8827d80

20006993280 has 512 divisors, whose sum is σ = 69515366400. Its totient is φ = 4882268160.

The previous prime is 20006993261. The next prime is 20006993287. The reversal of 20006993280 is 8239960002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006993287) 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, 115647274 + ... + 115647446.

It is an arithmetic number, because the mean of its divisors is an integer number (135772200).

Almost surely, 220006993280 is an apocalyptic number.

20006993280 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 20006993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34757683200).

20006993280 is an abundant number, since it is smaller than the sum of its proper divisors (49508373120).

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

20006993280 is a wasteful number, since it uses less digits than its factorization.

20006993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 20006993280 in words is "twenty billion, six million, nine hundred ninety-three thousand, two hundred eighty".