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84625633917 = 32114431929581
BaseRepresentation
bin100111011010000010…
…1001011001001111101
322002102201001121211200
41032310011023021331
52341303130241132
6102513153010113
76054050006526
oct1166405131175
9262381047750
1084625633917
1132986a67330
1214498b53939
137c985589c6
14414b22984d
152304626d7c
hex13b414b27d

84625633917 has 24 divisors (see below), whose sum is σ = 133650567648. Its totient is φ = 51172461600.

The previous prime is 84625633849. The next prime is 84625633943. The reversal of 84625633917 is 71933652648.

84625633917 is a `hidden beast` number, since 8 + 4 + 62 + 563 + 3 + 9 + 17 = 666.

It is not a de Polignac number, because 84625633917 - 212 = 84625629821 is a prime.

It is a super-2 number, since 2×846256339172 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84625633997) 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 23 ways as a sum of consecutive naturals, for example, 920934 + ... + 1008647.

It is an arithmetic number, because the mean of its divisors is an integer number (5568773652).

Almost surely, 284625633917 is an apocalyptic number.

It is an amenable number.

84625633917 is a deficient number, since it is larger than the sum of its proper divisors (49024933731).

84625633917 is a wasteful number, since it uses less digits than its factorization.

84625633917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930041 (or 1930038 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 84625633917 in words is "eighty-four billion, six hundred twenty-five million, six hundred thirty-three thousand, nine hundred seventeen".

Divisors: 1 3 9 11 33 99 443 1329 3987 4873 14619 43857 1929581 5788743 17366229 21225391 63676173 191028519 854804383 2564413149 7693239447 9402848213 28208544639 84625633917