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166590427685440 = 26511232057688089
BaseRepresentation
bin100101111000001101011011…
…010000111110001001000000
3210211211220000100002200122111
4211320031123100332021000
5133313404143441413230
61350150330322345104
750042522045255443
oct4570153320761100
9724756010080574
10166590427685440
1149098670474660
12168264111bb194
1371c55437aa165
142d1d03c18965a
15143d5ecaeb92a
hex97835b43e240

166590427685440 has 112 divisors (see below), whose sum is σ = 451571997479040. Its totient is φ = 57944496558080.

The previous prime is 166590427685431. The next prime is 166590427685447. The reversal of 166590427685440 is 44586724095661.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (166590427685447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028763085 + ... + 1028925004.

Almost surely, 2166590427685440 is an apocalyptic number.

166590427685440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166590427685440 is an abundant number, since it is smaller than the sum of its proper divisors (284981569793600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166590427685440 is a wasteful number, since it uses less digits than its factorization.

166590427685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057688140 (or 2057688130 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 67.

The spelling of 166590427685440 in words is "one hundred sixty-six trillion, five hundred ninety billion, four hundred twenty-seven million, six hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1760 1840 2024 2530 3520 3680 4048 5060 7360 8096 10120 16192 20240 40480 80960 2057688089 4115376178 8230752356 10288440445 16461504712 20576880890 22634568979 32923009424 41153761780 45269137958 47326826047 65846018848 82307523560 90538275916 94653652094 113172844895 131692037696 164615047120 181076551832 189307304188 226345689790 236634130235 329230094240 362153103664 378614608376 452691379580 473268260470 520595086517 658460188480 724306207328 757229216752 905382759160 946536520940 1041190173034 1448612414656 1514458433504 1810765518320 1893073041880 2082380346068 2602975432585 3028916867008 3621531036640 3786146083760 4164760692136 5205950865170 7243062073280 7572292167520 8329521384272 10411901730340 15144584335040 16659042768544 20823803460680 33318085537088 41647606921360 83295213842720 166590427685440