Search a number
-
+
20344652420036 = 2273144716936053
BaseRepresentation
bin1001010000000110110111…
…10001111101001111000100
32200000221002210210111101112
410220003123301331033010
510131311322004420121
6111134112043344152
74166565311165000
oct450033361751704
980027083714345
1020344652420036
1165341339a840a
122346b1ab22058
13b47653006c59
145049877d1700
152543276c675b
hex1280dbc7d3c4

20344652420036 has 96 divisors (see below), whose sum is σ = 41579801894400. Its totient is φ = 8706525916032.

The previous prime is 20344652420023. The next prime is 20344652420039. The reversal of 20344652420036 is 63002425644302.

It is a junction number, because it is equal to n+sod(n) for n = 20344652419975 and 20344652420002.

It is not an unprimeable number, because it can be changed into a prime (20344652420039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3361082786 + ... + 3361088838.

It is an arithmetic number, because the mean of its divisors is an integer number (433122936400).

Almost surely, 220344652420036 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 20344652420036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20789900947200).

20344652420036 is an abundant number, since it is smaller than the sum of its proper divisors (21235149474364).

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

20344652420036 is a wasteful number, since it uses less digits than its factorization.

20344652420036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 41.

The spelling of 20344652420036 in words is "twenty trillion, three hundred forty-four billion, six hundred fifty-two million, four hundred twenty thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 1447 1693 2894 3386 5788 6053 6772 10129 11851 12106 20258 23702 24212 40516 42371 47404 70903 82957 84742 141806 165914 169484 283612 296597 331828 496321 580699 593194 992642 1161398 1186388 1985284 2076179 2322796 2449771 4152358 4899542 8304716 8758691 9799084 10247729 17148397 17517382 20495458 34296794 35034764 40990916 61310837 68593588 71734103 120038779 122621674 143468206 240077558 245243348 286936412 429175859 480155116 502138721 840271453 858351718 1004277442 1680542906 1716703436 2008554884 3004231013 3361085812 3514971047 6008462026 7029942094 12016924052 14059884188 14828463863 29656927726 59313855452 103799247041 207598494082 415196988164 726594729287 1453189458574 2906378917148 5086163105009 10172326210018 20344652420036