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84030917945 = 5137328976113
BaseRepresentation
bin100111001000010100…
…0100000110100111001
322000220020222220220012
41032100220200310321
52334043403333240
6102334150111305
76033236005652
oct1162050406471
9260806886805
1084030917945
1132701298427
121435194b535
137c02290270
1440d225a529
1522bc2eeb65
hex1390a20d39

84030917945 has 32 divisors (see below), whose sum is σ = 110137400352. Its totient is φ = 61172416512.

The previous prime is 84030917939. The next prime is 84030917981. The reversal of 84030917945 is 54971903048.

It can be written as a sum of positive squares in 16 ways, for example, as 44891439376 + 39139478569 = 211876^2 + 197837^2 .

It is a cyclic number.

It is not a de Polignac number, because 84030917945 - 236 = 15311441209 is a prime.

It is a super-2 number, since 2×840309179452 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84030917893 and 84030917902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13743209 + ... + 13749321.

It is an arithmetic number, because the mean of its divisors is an integer number (3441793761).

Almost surely, 284030917945 is an apocalyptic number.

It is an amenable number.

84030917945 is a deficient number, since it is larger than the sum of its proper divisors (26106482407).

84030917945 is a wasteful number, since it uses less digits than its factorization.

84030917945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 84030917945 in words is "eighty-four billion, thirty million, nine hundred seventeen thousand, nine hundred forty-five".

Divisors: 1 5 13 65 73 365 949 2897 4745 6113 14485 30565 37661 79469 188305 211481 397345 446249 1057405 2231245 2749253 5801237 13746265 17709361 29006185 88546805 230221693 1151108465 1292783353 6463916765 16806183589 84030917945