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74130203147 = 71121321131907
BaseRepresentation
bin100010100001010000…
…0010010001000001011
321002100021001111110112
41011002200102020023
52203304313000042
654015511304535
75233005221150
oct1050240221013
9232307044415
1074130203147
1129490626900
121244a07b14b
136cb5026140
143833380227
151ddd004982
hex114281220b

74130203147 has 48 divisors (see below), whose sum is σ = 100763932416. Its totient is φ = 53066059200.

The previous prime is 74130203123. The next prime is 74130203171.

74130203147 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (74130203123) and next prime (74130203171).

It is not a de Polignac number, because 74130203147 - 26 = 74130203083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74130203117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2307368 + ... + 2339274.

It is an arithmetic number, because the mean of its divisors is an integer number (2099248592).

Almost surely, 274130203147 is an apocalyptic number.

74130203147 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

74130203147 is a deficient number, since it is larger than the sum of its proper divisors (26633729269).

74130203147 is a wasteful number, since it uses less digits than its factorization.

74130203147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32160 (or 32149 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 74130203147 in words is "seventy-four billion, one hundred thirty million, two hundred three thousand, one hundred forty-seven".

Divisors: 1 7 11 13 77 91 121 143 211 847 1001 1477 1573 2321 2743 11011 16247 19201 25531 30173 31907 178717 211211 223349 331903 350977 414791 2323321 2456839 2903537 3860747 4562701 6732377 27025229 31938907 47126639 50189711 74056147 87520901 351327977 518393029 612646307 814617617 962729911 5702323319 6739109377 10590029021 74130203147