Search a number
-
+
56501106765030 = 23351742129238977
BaseRepresentation
bin11001101100011001100000…
…11001011110110011100110
321102001110020021111000111000
430312030300121132303212
524401203231312440110
6320100130005254130
714621033045232114
oct1466146031366346
9242043207430430
1056501106765030
1117003a91873984
126406362404346
13256b0542ac795
14dd494d5daab4
1567eacb99b1c0
hex33633065ece6

56501106765030 has 128 divisors (see below), whose sum is σ = 159911479359360. Its totient is φ = 14146986147840.

The previous prime is 56501106765011. The next prime is 56501106765031. The reversal of 56501106765030 is 3056760110565.

56501106765030 is a `hidden beast` number, since 5 + 6 + 501 + 1 + 0 + 67 + 6 + 50 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56501106765031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12687099 + ... + 16551878.

It is an arithmetic number, because the mean of its divisors is an integer number (1249308432495).

Almost surely, 256501106765030 is an apocalyptic number.

56501106765030 is an abundant number, since it is smaller than the sum of its proper divisors (103410372594330).

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

56501106765030 is a wasteful number, since it uses less digits than its factorization.

56501106765030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29239431 (or 29239425 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

Adding to 56501106765030 its reverse (3056760110565), we get a palindrome (59557866875595).

The spelling of 56501106765030 in words is "fifty-six trillion, five hundred one billion, one hundred six million, seven hundred sixty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 421 459 510 765 842 918 1263 1530 2105 2295 2526 3789 4210 4590 6315 7157 7578 11367 12630 14314 18945 21471 22734 35785 37890 42942 56835 64413 71570 107355 113670 128826 193239 214710 322065 386478 644130 966195 1932390 29238977 58477954 87716931 146194885 175433862 263150793 292389770 438584655 497062609 526301586 789452379 877169310 994125218 1315753965 1491187827 1578904758 2485313045 2631507930 2982375654 3947261895 4473563481 4970626090 7455939135 7894523790 8947126962 12309609317 13420690443 14911878270 22367817405 24619218634 26841380886 36928827951 44735634810 61548046585 67103452215 73857655902 110786483853 123096093170 134206904430 184644139755 209263358389 221572967706 332359451559 369288279510 418526716778 553932419265 627790075167 664718903118 1046316791945 1107864838530 1255580150334 1661797257795 1883370225501 2092633583890 3138950375835 3323594515590 3766740451002 5650110676503 6277900751670 9416851127505 11300221353006 18833702255010 28250553382515 56501106765030