Search a number
-
+
245705407020 = 22335778958417
BaseRepresentation
bin1110010011010100101…
…1101111101000101100
3212111012122001221002000
43210311023233220230
513011201041011040
6304513035332300
723515544333343
oct3446513575054
9774178057060
10245705407020
1195226329a57
123b7522b1090
131a229413808
14bc6c2d4b5a
1565d0ca2130
hex39352efa2c

245705407020 has 96 divisors (see below), whose sum is σ = 764528049600. Its totient is φ = 65511908352.

The previous prime is 245705406997. The next prime is 245705407037. The reversal of 245705407020 is 20704507542.

It is a happy number.

245705407020 is a `hidden beast` number, since 2 + 45 + 7 + 0 + 540 + 70 + 2 + 0 = 666.

245705407020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2457054070202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4176852 + ... + 4235268.

It is an arithmetic number, because the mean of its divisors is an integer number (7963833850).

Almost surely, 2245705407020 is an apocalyptic number.

245705407020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245705407020 is an abundant number, since it is smaller than the sum of its proper divisors (518822642580).

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

245705407020 is a wasteful number, since it uses less digits than its factorization.

245705407020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66224 (or 66216 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 245705407020 in words is "two hundred forty-five billion, seven hundred five million, four hundred seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 7789 15578 23367 31156 38945 46734 58417 70101 77890 93468 116834 116835 140202 155780 175251 210303 233668 233670 280404 292085 350502 350505 420606 467340 525753 584170 701004 701010 841212 876255 1051506 1051515 1168340 1402020 1577259 1752510 2103012 2103030 2628765 3154518 3505020 4206060 5257530 6309036 7886295 10515060 15772590 31545180 455010013 910020026 1365030039 1820040052 2275050065 2730060078 4095090117 4550100130 5460120156 6825150195 8190180234 9100200260 12285270351 13650300390 16380360468 20475450585 24570540702 27300600780 40950901170 49141081404 61426351755 81901802340 122852703510 245705407020