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14640064050 = 2352611918377
BaseRepresentation
bin11011010001001110…
…11010011000110010
31101210021212022101110
431220213122120302
5214440324022200
610420415214150
71025536330323
oct155047323062
941707768343
1014640064050
116232a30897
122a06b17356
1314c40c44c1
149cc4cc44a
155aa416b50
hex3689da632

14640064050 has 96 divisors (see below), whose sum is σ = 37100196864. Its totient is φ = 3819456000.

The previous prime is 14640064037. The next prime is 14640064141. The reversal of 14640064050 is 5046004641.

14640064050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14640063999 and 14640064017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1743462 + ... + 1751838.

It is an arithmetic number, because the mean of its divisors is an integer number (386460384).

Almost surely, 214640064050 is an apocalyptic number.

14640064050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14640064050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550098432).

14640064050 is an abundant number, since it is smaller than the sum of its proper divisors (22460132814).

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

14640064050 is a wasteful number, since it uses less digits than its factorization.

14640064050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8644 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14640064050 its reverse (5046004641), we get a palindrome (19686068691).

The spelling of 14640064050 in words is "fourteen billion, six hundred forty million, sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 191 305 366 382 573 610 915 955 1146 1525 1830 1910 2865 3050 4575 4775 5730 8377 9150 9550 11651 14325 16754 23302 25131 28650 34953 41885 50262 58255 69906 83770 116510 125655 174765 209425 251310 291275 349530 418850 510997 582550 628275 873825 1021994 1256550 1532991 1600007 1747650 2554985 3065982 3200014 4800021 5109970 7664955 8000035 9600042 12774925 15329910 16000070 24000105 25549850 38324775 40000175 48000210 76649550 80000350 97600427 120000525 195200854 240001050 292801281 488002135 585602562 976004270 1464006405 2440010675 2928012810 4880021350 7320032025 14640064050