Search a number
-
+
66105630621024 = 25319231575744437
BaseRepresentation
bin11110000011111011010101…
…01000010111110101100000
322200001122012001120121002120
433001331222220113311200
532131033312414333044
6352332301340144240
716631655103055061
oct1701755250276540
9280048161517076
1066105630621024
111a07727112a565
1274b7869b38080
132ab6971106a27
14124775b2c2568
1579985c247519
hex3c1f6aa17d60

66105630621024 has 96 divisors (see below), whose sum is σ = 190602047220480. Its totient is φ = 19967833492992.

The previous prime is 66105630621013. The next prime is 66105630621071. The reversal of 66105630621024 is 42012603650166.

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

It is a congruent number.

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, 787830267 + ... + 787914170.

It is an arithmetic number, because the mean of its divisors is an integer number (1985437991880).

Almost surely, 266105630621024 is an apocalyptic number.

It is an amenable number.

66105630621024 is an abundant number, since it is smaller than the sum of its proper divisors (124496416599456).

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

66105630621024 is a wasteful number, since it uses less digits than its factorization.

66105630621024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575744492 (or 1575744484 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 66105630621024 in words is "sixty-six trillion, one hundred five billion, six hundred thirty million, six hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 1104 1311 1748 1824 2208 2622 3496 5244 6992 10488 13984 20976 41952 1575744437 3151488874 4727233311 6302977748 9454466622 12605955496 18908933244 25211910992 29939144303 36242122051 37817866488 50423821984 59878288606 72484244102 75635732976 89817432909 108726366153 119756577212 144968488204 151271465952 179634865818 217452732306 239513154424 289936976408 359269731636 434905464612 479026308848 579873952816 688600318969 718539463272 869810929224 958052617696 1159747905632 1377200637938 1437078926544 1739621858448 2065800956907 2754401275876 2874157853088 3479243716896 4131601913814 5508802551752 8263203827628 11017605103504 16526407655256 22035210207008 33052815310512 66105630621024