Search a number
-
+
450612009769704 = 2337511039203911801
BaseRepresentation
bin110011001110101000100100…
…0110001100001101011101000
32012002111002100201202221122020
41212131101020301201223220
5433030311344000112304
64234212144405424440
7163625433446515356
oct14635211061415350
92162432321687566
10450612009769704
111206405310a1a92
124265776240b120
13164586b7aa3823
147d3ba481387d6
1537166bc15b5d9
hex199d448c61ae8

450612009769704 has 128 divisors (see below), whose sum is σ = 1129765238784000. Its totient is φ = 149773435200000.

The previous prime is 450612009769657. The next prime is 450612009769739. The reversal of 450612009769704 is 407967900216054.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 38184216604 + ... + 38184228404.

It is an arithmetic number, because the mean of its divisors is an integer number (8826290928000).

Almost surely, 2450612009769704 is an apocalyptic number.

It is an amenable number.

450612009769704 is an abundant number, since it is smaller than the sum of its proper divisors (679153229014296).

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

450612009769704 is a wasteful number, since it uses less digits than its factorization.

450612009769704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15639 (or 15635 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 450612009769704 in words is "four hundred fifty trillion, six hundred twelve billion, nine million, seven hundred sixty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 24 751 1039 1502 2039 2078 2253 3004 3117 4078 4156 4506 6008 6117 6234 8156 8312 9012 11801 12234 12468 16312 18024 23602 24468 24936 35403 47204 48936 70806 94408 141612 283224 780289 1531289 1560578 2118521 2340867 3062578 3121156 4237042 4593867 4681734 6125156 6242312 6355563 8474084 8862551 9187734 9363468 12250312 12261239 12711126 16948168 17725102 18375468 18726936 24062239 24522478 25422252 26587653 35450204 36750936 36783717 48124478 49044956 50844504 53175306 70900408 72186717 73567434 96248956 98089912 106350612 144373434 147134868 192497912 212701224 288746868 294269736 577493736 1591009271 3182018542 4773027813 6364037084 9208190489 9546055626 12728074168 18070741489 18416380978 19092111252 25000666321 27624571467 36141482978 36832761956 38184222504 50001332642 54212224467 55249142934 72282965956 73665523912 75001998963 100002665284 108424448934 110498285868 144565931912 150003997926 200005330568 216848897868 220996571736 300007995852 433697795736 600015991704 18775500407071 37551000814142 56326501221213 75102001628284 112653002442426 150204003256568 225306004884852 450612009769704