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5035105650 = 23527326299
BaseRepresentation
bin1001011000001110…
…11001110101110010
3110222220102212110110
410230013121311302
540302441340100
62151343442150
7235526456211
oct45407316562
913886385413
105035105650
112154205443
12b862b6356
13623200773
1435a9dd078
151e708d250
hex12c1d9d72

5035105650 has 72 divisors (see below), whose sum is σ = 12662470800. Its totient is φ = 1324091520.

The previous prime is 5035105643. The next prime is 5035105667. The reversal of 5035105650 is 565015305.

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

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 35 ways as a sum of consecutive naturals, for example, 796201 + ... + 802499.

It is an arithmetic number, because the mean of its divisors is an integer number (175867650).

Almost surely, 25035105650 is an apocalyptic number.

5035105650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035105650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331235400).

5035105650 is an abundant number, since it is smaller than the sum of its proper divisors (7627365150).

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

5035105650 is a wasteful number, since it uses less digits than its factorization.

5035105650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The square root of 5035105650 is about 70958.4783517798. The cubic root of 5035105650 is about 1713.9686046877.

It can be divided in two parts, 5035 and 105650, that added together give a triangular number (110685 = T470).

The spelling of 5035105650 in words is "five billion, thirty-five million, one hundred five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 146 150 219 365 438 730 1095 1825 2190 3650 5329 5475 6299 10658 10950 12598 15987 18897 26645 31495 31974 37794 53290 62990 79935 94485 133225 157475 159870 188970 266450 314950 399675 459827 472425 799350 919654 944850 1379481 2299135 2758962 4598270 6897405 11495675 13794810 22991350 33567371 34487025 67134742 68974050 100702113 167836855 201404226 335673710 503510565 839184275 1007021130 1678368550 2517552825 5035105650