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20218688959 = 723296764633
BaseRepresentation
bin10010110101001000…
…001011010110111111
31221012002000211002211
4102311020023112333
5312401441021314
613142140401251
71314016010020
oct226510132677
957162024084
1020218688959
118635a172a7
123b03246227
131ba2aa66a1
14d9b370c47
157d50679c4
hex4b520b5bf

20218688959 has 32 divisors (see below), whose sum is σ = 25315845120. Its totient is φ = 15766071552.

The previous prime is 20218688929. The next prime is 20218688981. The reversal of 20218688959 is 95988681202.

It is not a de Polignac number, because 20218688959 - 211 = 20218686911 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20218688929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280507 + ... + 345139.

It is an arithmetic number, because the mean of its divisors is an integer number (791120160).

Almost surely, 220218688959 is an apocalyptic number.

20218688959 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

20218688959 is a deficient number, since it is larger than the sum of its proper divisors (5097156161).

20218688959 is a wasteful number, since it uses less digits than its factorization.

20218688959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64759.

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 20218688959 in words is "twenty billion, two hundred eighteen million, six hundred eighty-eight thousand, nine hundred fifty-nine".

Divisors: 1 7 23 29 67 161 203 469 667 1541 1943 4669 10787 13601 44689 64633 312823 452431 1486559 1874357 4330411 10405913 13120499 30312877 43110211 99599453 125581919 301771477 697196171 879073433 2888384137 20218688959