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6672401424 = 2432133564317
BaseRepresentation
bin1100011011011010…
…01100010000010000
3122020000022010000200
412031231030100100
5102131113321144
63022032415200
7324230322243
oct61555142020
918200263020
106672401424
11291443aa47
1213626a7500
13824494230
1447424125a
15290ba7c69
hex18db4c410

6672401424 has 60 divisors (see below), whose sum is σ = 20109882156. Its totient is φ = 2053046016.

The previous prime is 6672401419. The next prime is 6672401431. The reversal of 6672401424 is 4241042766.

It can be written as a sum of positive squares in 2 ways, for example, as 3840033024 + 2832368400 = 61968^2 + 53220^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1780287 + ... + 1784030.

Almost surely, 26672401424 is an apocalyptic number.

It is an amenable number.

6672401424 is an abundant number, since it is smaller than the sum of its proper divisors (13437480732).

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

6672401424 is a wasteful number, since it uses less digits than its factorization.

6672401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564344 (or 3564335 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6672401424 is about 81684.7686169215. The cubic root of 6672401424 is about 1882.6115644214.

The spelling of 6672401424 in words is "six billion, six hundred seventy-two million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3564317 7128634 10692951 14257268 21385902 28514536 32078853 42771804 46336121 57029072 64157706 85543608 92672242 128315412 139008363 171087216 185344484 256630824 278016726 370688968 417025089 513261648 556033452 741377936 834050178 1112066904 1668100356 2224133808 3336200712 6672401424