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20788309206 = 2337176594909
BaseRepresentation
bin10011010111000101…
…000110110011010110
31222122202212112012000
4103113011012303112
5320033301343311
613314445340130
71334103466320
oct232705066326
958582775160
1020788309206
1188a8505435
124041b67646
131c63ac64a2
141012c8a610
1581a084056
hex4d7146cd6

20788309206 has 128 divisors (see below), whose sum is σ = 55997568000. Its totient is φ = 5580513792.

The previous prime is 20788309183. The next prime is 20788309211. The reversal of 20788309206 is 60290388702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4232280 + ... + 4237188.

It is an arithmetic number, because the mean of its divisors is an integer number (437481000).

Almost surely, 220788309206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20788309206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998784000).

20788309206 is an abundant number, since it is smaller than the sum of its proper divisors (35209258794).

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

20788309206 is a wasteful number, since it uses less digits than its factorization.

20788309206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20788309206 in words is "twenty billion, seven hundred eighty-eight million, three hundred nine thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 659 714 918 1071 1318 1977 2142 3213 3954 4613 4909 5931 6426 9226 9818 11203 11862 13839 14727 17793 22406 27678 29454 33609 34363 35586 41517 44181 67218 68726 78421 83034 83453 88362 100827 103089 124551 132543 156842 166906 201654 206178 235263 249102 250359 265086 302481 309267 470526 500718 584171 604962 618534 705789 751077 927801 1168342 1411578 1502154 1752513 1855602 2117367 2253231 3235031 3505026 4234734 4506462 5257539 6470062 9705093 10515078 15772617 19410186 22645217 29115279 31545234 45290434 54995527 58230558 67935651 87345837 109991054 135871302 164986581 174691674 203806953 329973162 384968689 407613906 494959743 611420859 769937378 989919486 1154906067 1222841718 1484879229 2309812134 2969758458 3464718201 6929436402 10394154603 20788309206