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20583484668 = 22332315154877
BaseRepresentation
bin10011001010110111…
…110000110011111100
31222010111110100202000
4103022313300303330
5314123333002133
613242251302300
71326035506245
oct231267606374
958114410660
1020583484668
11880292775a
123ba544a990
131c30540236
14dd39adccc
158070c5413
hex4cadf0cfc

20583484668 has 96 divisors (see below), whose sum is σ = 56054584320. Its totient is φ = 6519268800.

The previous prime is 20583484637. The next prime is 20583484679. The reversal of 20583484668 is 86648438502.

20583484668 is a `hidden beast` number, since 20 + 5 + 83 + 484 + 6 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347646 + ... + 402522.

It is an arithmetic number, because the mean of its divisors is an integer number (583901920).

Almost surely, 220583484668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20583484668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28027292160).

20583484668 is an abundant number, since it is smaller than the sum of its proper divisors (35471099652).

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

20583484668 is a wasteful number, since it uses less digits than its factorization.

20583484668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55064 (or 55056 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 20583484668 in words is "twenty billion, five hundred eighty-three million, four hundred eighty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 151 207 276 302 414 453 604 621 828 906 1242 1359 1812 2484 2718 3473 4077 5436 6946 8154 10419 13892 16308 20838 31257 41676 54877 62514 93771 109754 125028 164631 187542 219508 329262 375084 493893 658524 987786 1262171 1481679 1975572 2524342 2963358 3786513 5048684 5926716 7573026 8286427 11359539 15146052 16572854 22719078 24859281 33145708 34078617 45438156 49718562 68157234 74577843 99437124 136314468 149155686 190587821 223733529 298311372 381175642 447467058 571763463 762351284 894934116 1143526926 1715290389 2287053852 3430580778 5145871167 6861161556 10291742334 20583484668