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20824088289 = 3233743189691
BaseRepresentation
bin10011011001001101…
…100101111011100001
31222202021012021212020
4103121031211323201
5320121431311124
613322204252053
71335016554444
oct233115457341
958667167766
1020824088289
118916722824
124051b41029
131c6b342a44
14101792165b
1581d2a0379
hex4d9365ee1

20824088289 has 32 divisors (see below), whose sum is σ = 30447842304. Its totient is φ = 12619696320.

The previous prime is 20824088279. The next prime is 20824088297. The reversal of 20824088289 is 98288042802.

It is a happy number.

It is not a de Polignac number, because 20824088289 - 27 = 20824088161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20824088209) 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, 14934 + ... + 204624.

It is an arithmetic number, because the mean of its divisors is an integer number (951495072).

Almost surely, 220824088289 is an apocalyptic number.

It is an amenable number.

20824088289 is a deficient number, since it is larger than the sum of its proper divisors (9623754015).

20824088289 is a wasteful number, since it uses less digits than its factorization.

20824088289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189797.

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 20824088289 in words is "twenty billion, eight hundred twenty-four million, eighty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 23 37 43 69 111 129 851 989 1591 2553 2967 4773 36593 109779 189691 569073 4362893 7018567 8156713 13088679 21055701 24470139 161427041 187604399 301798381 484281123 562813197 905395143 6941362763 20824088289