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7138623375 = 325313237547
BaseRepresentation
bin1101010010111111…
…01011111110001111
3200102111120122022100
412221133223332033
5104104441422000
63140205250143
7341621204022
oct65137537617
920374518270
107138623375
113033626444
121472863953
13899c50800
144ba1231b9
152bba9ca00
hex1a97ebf8f

7138623375 has 72 divisors (see below), whose sum is σ = 13934963952. Its totient is φ = 3514305600.

The previous prime is 7138623329. The next prime is 7138623377. The reversal of 7138623375 is 5733268317.

7138623375 is a `hidden beast` number, since 7 + 13 + 8 + 623 + 3 + 7 + 5 = 666.

7138623375 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7138623375 - 29 = 7138622863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 7138623375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7138623377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171352 + ... + 208898.

It is an arithmetic number, because the mean of its divisors is an integer number (193541166).

Almost surely, 27138623375 is an apocalyptic number.

7138623375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7138623375 is a deficient number, since it is larger than the sum of its proper divisors (6796340577).

7138623375 is a wasteful number, since it uses less digits than its factorization.

7138623375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37594 (or 37568 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 7138623375 is about 84490.3744517682. The cubic root of 7138623375 is about 1925.4762075920.

The spelling of 7138623375 in words is "seven billion, one hundred thirty-eight million, six hundred twenty-three thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 169 195 225 325 375 507 585 845 975 1125 1521 1625 2535 2925 4225 4875 7605 12675 14625 21125 37547 38025 63375 112641 187735 190125 337923 488111 563205 938675 1464333 1689615 2440555 2816025 4392999 4693375 6345443 7321665 8448075 12202775 14080125 19036329 21964995 31727215 36608325 42240375 57108987 61013875 95181645 109824975 158636075 183041625 285544935 475908225 549124875 793180375 1427724675 2379541125 7138623375