Search a number
-
+
20360463541536 = 2531016533215747
BaseRepresentation
bin1001010000100100010100…
…01100100110010100100000
32200002102220201012200121010
410220102022030212110200
510132041212131312121
6111145245014500520
74200665160411066
oct450221214462440
980072821180533
1020360463541536
11653a907966a78
122349bb2064740
13b48ca28cb051
14505647638036
1525495080d376
hex12848a326520

20360463541536 has 96 divisors (see below), whose sum is σ = 54058061631168. Its totient is φ = 6709332454400.

The previous prime is 20360463541519. The next prime is 20360463541559. The reversal of 20360463541536 is 63514536406302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4723615 + ... + 7939361.

It is an arithmetic number, because the mean of its divisors is an integer number (563104808658).

Almost surely, 220360463541536 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 20360463541536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27029030815584).

20360463541536 is an abundant number, since it is smaller than the sum of its proper divisors (33697598089632).

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

20360463541536 is a wasteful number, since it uses less digits than its factorization.

20360463541536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216514 (or 3216506 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

Adding to 20360463541536 its reverse (63514536406302), we get a palindrome (83874999947838).

The spelling of 20360463541536 in words is "twenty trillion, three hundred sixty billion, four hundred sixty-three million, five hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 653 808 1212 1306 1616 1959 2424 2612 3232 3918 4848 5224 7836 9696 10448 15672 20896 31344 62688 65953 131906 197859 263812 395718 527624 791436 1055248 1582872 2110496 3165744 3215747 6331488 6431494 9647241 12862988 19294482 25725976 38588964 51451952 77177928 102903904 154355856 308711712 324790447 649580894 974371341 1299161788 1948742682 2099882791 2598323576 3897485364 4199765582 5196647152 6299648373 7794970728 8399531164 10393294304 12599296746 15589941456 16799062328 25198593492 31179882912 33598124656 50397186984 67196249312 100794373968 201588747936 212088161891 424176323782 636264485673 848352647564 1272528971346 1696705295128 2545057942692 3393410590256 5090115885384 6786821180512 10180231770768 20360463541536