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87406606888173 = 3317536735338763
BaseRepresentation
bin10011110111111011101111…
…110000010010110011101101
3102110110222201201102001202000
4103313323233300102303231
542424032212330410143
6505522012454522513
724260630125655316
oct2367735760226355
9373428651361660
1087406606888173
1125939a2a9a2741
129977b9b966439
1339a053b832861
14178270661960d
15a189a6a97bd3
hex4f7eefc12ced

87406606888173 has 64 divisors (see below), whose sum is σ = 139902951271680. Its totient is φ = 53728617406464.

The previous prime is 87406606888163. The next prime is 87406606888219. The reversal of 87406606888173 is 37188860660478.

87406606888173 is a `hidden beast` number, since 8 + 7 + 4 + 0 + 6 + 606 + 8 + 8 + 8 + 1 + 7 + 3 = 666.

It is not a de Polignac number, because 87406606888173 - 218 = 87406606626029 is a prime.

It is a super-3 number, since 3×874066068881733 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87406606888163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13702690 + ... + 19041452.

It is an arithmetic number, because the mean of its divisors is an integer number (2185983613620).

Almost surely, 287406606888173 is an apocalyptic number.

It is an amenable number.

87406606888173 is a deficient number, since it is larger than the sum of its proper divisors (52496344383507).

87406606888173 is a wasteful number, since it uses less digits than its factorization.

87406606888173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339515 (or 5339509 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 87406606888173 in words is "eighty-seven trillion, four hundred six billion, six hundred six million, eight hundred eighty-eight thousand, one hundred seventy-three".

Divisors: 1 3 9 17 27 51 53 153 159 459 477 673 901 1431 2019 2703 6057 8109 11441 18171 24327 34323 35669 102969 107007 308907 321021 606373 963063 1819119 5338763 5457357 16016289 16372071 48048867 90758971 144146601 272276913 282954439 816830739 848863317 2450492217 2546589951 3592987499 4810225463 7639769853 10778962497 14430676389 32336887491 43292029167 61080787483 97010662473 129876087501 183242362449 190428337447 549727087347 571285012341 1649181262041 1713855037023 3237281736599 5141565111069 9711845209797 29135535629391 87406606888173