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7000148407 = 741431932939
BaseRepresentation
bin1101000010011110…
…11100100110110111
3200001212000101100211
412201033130212313
5103314014222112
63114341250251
7335320164640
oct64117344667
920055011324
107000148407
112a7244611a
121434403987
13877358665
144a59986c7
152ae8480a7
hex1a13dc9b7

7000148407 has 32 divisors (see below), whose sum is σ = 8432202240. Its totient is φ = 5686087680.

The previous prime is 7000148401. The next prime is 7000148411. The reversal of 7000148407 is 7048410007.

It is not a de Polignac number, because 7000148407 - 23 = 7000148399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7000148401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2380344 + ... + 2383282.

It is an arithmetic number, because the mean of its divisors is an integer number (263506320).

Almost surely, 27000148407 is an apocalyptic number.

7000148407 is a deficient number, since it is larger than the sum of its proper divisors (1432053833).

7000148407 is a wasteful number, since it uses less digits than its factorization.

7000148407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223.

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 7000148407 is about 83666.8895501679. The cubic root of 7000148407 is about 1912.9447013615.

The spelling of 7000148407 in words is "seven billion, one hundred forty-eight thousand, four hundred seven".

Divisors: 1 7 41 43 193 287 301 1351 1763 2939 7913 8299 12341 20573 55391 58093 120499 126377 340259 567227 843493 884639 2381813 3970589 5181457 23256307 24390761 36270199 162794149 170735327 1000021201 7000148407