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5007425184 = 253771551
BaseRepresentation
bin1001010100111011…
…10011111010100000
3110220222100120000000
410222131303322200
540223400101214
62144514300000
7235042261146
oct45235637240
913828316000
105007425184
11213a619723
12b78b87600
1361a55b4a8
14357075596
151e4921809
hex12a773ea0

5007425184 has 96 divisors (see below), whose sum is σ = 14785505280. Its totient is φ = 1669118400.

The previous prime is 5007425183. The next prime is 5007425201. The reversal of 5007425184 is 4815247005.

5007425184 is a `hidden beast` number, since 50 + 0 + 7 + 425 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5007425183) 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 15 ways as a sum of consecutive naturals, for example, 34209 + ... + 105759.

It is an arithmetic number, because the mean of its divisors is an integer number (154015680).

Almost surely, 25007425184 is an apocalyptic number.

5007425184 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5007425184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392752640).

5007425184 is an abundant number, since it is smaller than the sum of its proper divisors (9778080096).

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

5007425184 is an frugal number, since it uses more digits than its factorization.

5007425184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71582 (or 71556 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5007425184 is about 70763.1626201091. The cubic root of 5007425184 is about 1710.8219870837.

The spelling of 5007425184 in words is "five billion, seven million, four hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 34992 69984 71551 143102 214653 286204 429306 572408 643959 858612 1144816 1287918 1717224 1931877 2289632 2575836 3434448 3863754 5151672 5795631 6868896 7727508 10303344 11591262 15455016 17386893 20606688 23182524 30910032 34773786 46365048 52160679 61820064 69547572 92730096 104321358 139095144 156482037 185460192 208642716 278190288 312964074 417285432 556380576 625928148 834570864 1251856296 1669141728 2503712592 5007425184