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20445313535052 = 223716711503126703
BaseRepresentation
bin1001010011000010010111…
…01001101000110001001100
32200101112221001102221221120
410221201023221220301030
510134434000231110202
6111252240344400540
74210060633432350
oct451411351506114
980345831387846
1020445313535052
116572899533a5a
122362532176150
13b53ca578c8c3
145097b6587460
15256c699a20bc
hex12984ba68c4c

20445313535052 has 96 divisors (see below), whose sum is σ = 54852509171712. Its totient is φ = 5805988393536.

The previous prime is 20445313535041. The next prime is 20445313535063. The reversal of 20445313535052 is 25053531354402.

It is an interprime number because it is at equal distance from previous prime (20445313535041) and next prime (20445313535063).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20445313534995 and 20445313535013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161300733 + ... + 161427435.

It is an arithmetic number, because the mean of its divisors is an integer number (571380303872).

Almost surely, 220445313535052 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 20445313535052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426254585856).

20445313535052 is an abundant number, since it is smaller than the sum of its proper divisors (34407195636660).

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

20445313535052 is a wasteful number, since it uses less digits than its factorization.

20445313535052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138387 (or 138385 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

Adding to 20445313535052 its reverse (25053531354402), we get a palindrome (45498844889454).

The spelling of 20445313535052 in words is "twenty trillion, four hundred forty-five billion, three hundred thirteen million, five hundred thirty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 2004 2338 3507 4676 7014 11503 14028 23006 34509 46012 69018 80521 126703 138036 161042 241563 253406 322084 380109 483126 506812 760218 886921 966252 1520436 1773842 1921001 2660763 3547684 3842002 5321526 5763003 7684004 10643052 11526006 13447007 21159401 23052012 26894014 40341021 42318802 53788028 63478203 80682042 84637604 126956406 148115807 161364084 253912812 296231614 444347421 592463228 888694842 1457464609 1777389684 2914929218 4372393827 5829858436 8744787654 10202252263 17489575308 20404504526 30606756789 40809009052 61213513578 122427027156 243396589703 486793179406 730189769109 973586358812 1460379538218 1703776127921 2920759076436 3407552255842 5111328383763 6815104511684 10222656767526 20445313535052