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85238004117 = 37192337251033
BaseRepresentation
bin100111101100010010…
…1001011100110010101
322011000101100020211110
41033120211023212111
52344031412112432
6103054030125233
76105164036430
oct1173045134625
9264011306743
1085238004117
11331706a4102
121462a050819
138065395c36
1441a86b2817
15233d289dcc
hex13d894b995

85238004117 has 64 divisors (see below), whose sum is σ = 146523525120. Its totient is φ = 42944546304.

The previous prime is 85238004101. The next prime is 85238004119. The reversal of 85238004117 is 71140083258.

It is not a de Polignac number, because 85238004117 - 24 = 85238004101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85238004119) 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 63 ways as a sum of consecutive naturals, for example, 214033 + ... + 465065.

It is an arithmetic number, because the mean of its divisors is an integer number (2289430080).

Almost surely, 285238004117 is an apocalyptic number.

It is an amenable number.

85238004117 is a deficient number, since it is larger than the sum of its proper divisors (61285521003).

85238004117 is a wasteful number, since it uses less digits than its factorization.

85238004117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251122.

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 85238004117 in words is "eighty-five billion, two hundred thirty-eight million, four thousand, one hundred seventeen".

Divisors: 1 3 7 19 21 23 37 57 69 111 133 161 259 399 437 483 703 777 851 1311 2109 2553 3059 4921 5957 9177 14763 16169 17871 48507 113183 251033 339549 753099 1757231 4769627 5271693 5773759 9288221 14308881 17321277 27864663 33387389 40416313 65017547 100162167 109701421 121248939 176476199 195052641 213629083 329104263 529428597 640887249 767909947 1235333393 1495403581 2303729841 3706000179 4058952577 4486210743 12176857731 28412668039 85238004117