Search a number
-
+
3640543122450 = 2352136412912551
BaseRepresentation
bin110100111110100001010…
…001111001010000010010
3110220000212201011100101010
4310332201101321100102
5434121313014404300
611424235321351350
7524010023651223
oct64764121712022
913800781140333
103640543122450
111183a44758243
124a968a638556
132053bcc128a0
14c82bb92724a
1564a73acda50
hex34fa1479412

3640543122450 has 96 divisors (see below), whose sum is σ = 9738222463872. Its totient is φ = 894735360000.

The previous prime is 3640543122407. The next prime is 3640543122533. The reversal of 3640543122450 is 542213450463.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3640543122399 and 3640543122408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206326 + ... + 2706225.

It is an arithmetic number, because the mean of its divisors is an integer number (101439817332).

Almost surely, 23640543122450 is an apocalyptic number.

3640543122450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640543122450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869111231936).

3640543122450 is an abundant number, since it is smaller than the sum of its proper divisors (6097679341422).

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

3640543122450 is a wasteful number, since it uses less digits than its factorization.

3640543122450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913220 (or 2913215 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 3640543122450 in words is "three trillion, six hundred forty billion, five hundred forty-three million, one hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 641 650 975 1282 1923 1950 3205 3846 6410 8333 9615 16025 16666 19230 24999 32050 41665 48075 49998 83330 96150 124995 208325 249990 416650 624975 1249950 2912551 5825102 8737653 14562755 17475306 29125510 37863163 43688265 72813775 75726326 87376530 113589489 145627550 189315815 218441325 227178978 378631630 436882650 567947445 946579075 1135894890 1866945191 1893158150 2839737225 3733890382 5600835573 5679474450 9334725955 11201671146 18669451910 24270287483 28004177865 46673629775 48540574966 56008355730 72810862449 93347259550 121351437415 140020889325 145621724898 242702874830 280041778650 364054312245 606757187075 728108624490 1213514374150 1820271561225 3640543122450