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20512627704 = 2333592576263
BaseRepresentation
bin10011000110101001…
…011101101111111000
31221221120010110021000
4103012221131233320
5314002213041304
613231240445000
71324215313212
oct230651355770
957846113230
1020512627704
118776930888
123b85779760
131c1b96163a
14dc84075b2
15800c7a939
hex4c6a5dbf8

20512627704 has 128 divisors (see below), whose sum is σ = 58180032000. Its totient is φ = 6694428672.

The previous prime is 20512627697. The next prime is 20512627781. The reversal of 20512627704 is 40772621502.

It is a happy number.

20512627704 is a `hidden beast` number, since 20 + 5 + 1 + 2 + 627 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3272077 + ... + 3278339.

It is an arithmetic number, because the mean of its divisors is an integer number (454531500).

Almost surely, 220512627704 is an apocalyptic number.

20512627704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20512627704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090016000).

20512627704 is an abundant number, since it is smaller than the sum of its proper divisors (37667404296).

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

20512627704 is a wasteful number, since it uses less digits than its factorization.

20512627704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 20512627704 in words is "twenty billion, five hundred twelve million, six hundred twenty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 257 354 472 514 531 708 771 1028 1062 1416 1542 1593 2056 2124 2313 3084 3186 4248 4626 6168 6263 6372 6939 9252 12526 12744 13878 15163 18504 18789 25052 27756 30326 37578 45489 50104 55512 56367 60652 75156 90978 112734 121304 136467 150312 169101 181956 225468 272934 338202 363912 369517 409401 450936 545868 676404 739034 818802 1091736 1108551 1352808 1478068 1609591 1637604 2217102 2956136 3219182 3275208 3325653 4434204 4828773 6438364 6651306 8868408 9657546 9976959 12876728 13302612 14486319 19315092 19953918 26605224 28972638 38630184 39907836 43458957 57945276 79815672 86917914 94965869 115890552 173835828 189931738 284897607 347671656 379863476 569795214 759726952 854692821 1139590428 1709385642 2279180856 2564078463 3418771284 5128156926 6837542568 10256313852 20512627704