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4149151050 = 2352113078191
BaseRepresentation
bin1111011101001111…
…0000010101001010
3101201011100201020010
43313103300111022
531444140313200
61523414412350
7204551126202
oct36723602512
911634321203
104149151050
11183a0a6660
129796610b6
135117b4085
142b509b402
151943d8150
hexf74f054a

4149151050 has 96 divisors (see below), whose sum is σ = 11263279104. Its totient is φ = 1002456000.

The previous prime is 4149150997. The next prime is 4149151051. The reversal of 4149151050 is 501519414.

It is a super-2 number, since 2×41491510502 = 34430908871432205000, which contains 22 as substring.

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 = 4149150999 and 4149151017.

It is not an unprimeable number, because it can be changed into a prime (4149151051) by changing a digit.

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, 502455 + ... + 510645.

It is an arithmetic number, because the mean of its divisors is an integer number (117325824).

Almost surely, 24149151050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149151050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631639552).

4149151050 is an abundant number, since it is smaller than the sum of its proper divisors (7114128054).

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

4149151050 is a wasteful number, since it uses less digits than its factorization.

4149151050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8519 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 4149151050 is about 64413.9041667247. The cubic root of 4149151050 is about 1606.8909884520.

The spelling of 4149151050 in words is "four billion, one hundred forty-nine million, one hundred fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 307 330 550 614 825 921 1535 1650 1842 3070 3377 4605 6754 7675 8191 9210 10131 15350 16382 16885 20262 23025 24573 33770 40955 46050 49146 50655 81910 84425 90101 101310 122865 168850 180202 204775 245730 253275 270303 409550 450505 506550 540606 614325 901010 1228650 1351515 2252525 2514637 2703030 4505050 5029274 6757575 7543911 12573185 13515150 15087822 25146370 27661007 37719555 55322014 62865925 75439110 82983021 125731850 138305035 165966042 188597775 276610070 377195550 414915105 691525175 829830210 1383050350 2074575525 4149151050