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6430016436 = 2232337629653
BaseRepresentation
bin1011111110100001…
…00100001110110100
3121121010012200022220
411333100210032310
5101132041011221
62542013322340
7315225144414
oct57720441664
917533180286
106430016436
1127aa638578
1212b54963b0
137b61b996c
1444dd88644
1527977a0c6
hex17f4243b4

6430016436 has 48 divisors (see below), whose sum is σ = 16078844544. Its totient is φ = 1994737536.

The previous prime is 6430016431. The next prime is 6430016443. The reversal of 6430016436 is 6346100346.

It is a super-2 number, since 2×64300164362 = 82690222734460284192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6430016397 and 6430016406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6430016431) 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, 304615 + ... + 325038.

It is an arithmetic number, because the mean of its divisors is an integer number (334975928).

Almost surely, 26430016436 is an apocalyptic number.

It is an amenable number.

6430016436 is an abundant number, since it is smaller than the sum of its proper divisors (9648828108).

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

6430016436 is a wasteful number, since it uses less digits than its factorization.

6430016436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629720 (or 629718 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 6430016436 is about 80187.3832719337. The cubic root of 6430016436 is about 1859.5335898405.

The spelling of 6430016436 in words is "six billion, four hundred thirty million, sixteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 10212 629653 1259306 1888959 2518612 3777918 7555836 14482019 23297161 28964038 43446057 46594322 57928076 69891483 86892114 93188644 139782966 173784228 279565932 535834703 1071669406 1607504109 2143338812 3215008218 6430016436