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20858006334 = 23113197110499
BaseRepresentation
bin10011011011001110…
…111110101100111110
31222211122000111200010
4103123032332230332
5320204122200314
613325415244050
71335611062044
oct233316765476
958748014603
1020858006334
118933889970
124061379626
131c7538a1a9
14101c230394
15821250059
hex4db3beb3e

20858006334 has 64 divisors (see below), whose sum is σ = 47029248000. Its totient is φ = 6109836000.

The previous prime is 20858006311. The next prime is 20858006341. The reversal of 20858006334 is 43360085802.

It is a junction number, because it is equal to n+sod(n) for n = 20858006292 and 20858006301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981417 + ... + 1991915.

It is an arithmetic number, because the mean of its divisors is an integer number (734832000).

Almost surely, 220858006334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20858006334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624000).

20858006334 is an abundant number, since it is smaller than the sum of its proper divisors (26171241666).

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

20858006334 is a wasteful number, since it uses less digits than its factorization.

20858006334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 20858006334 in words is "twenty billion, eight hundred fifty-eight million, six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 971 1023 1942 2046 2913 5826 10499 10681 20998 21362 30101 31497 32043 60202 62994 64086 90303 115489 180606 230978 325469 331111 346467 650938 662222 692934 976407 993333 1952814 1986666 3580159 7160318 10194529 10740477 20389058 21480954 30583587 61167174 112139819 224279638 316030399 336419457 632060798 672838914 948091197 1896182394 3476334389 6952668778 10429003167 20858006334