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109217661552 = 243484272887
BaseRepresentation
bin110010110110111100…
…0010100001001110000
3101102220120022001210000
41211231320110021300
53242134210132202
6122101321310000
710614341543226
oct1455570241160
9342816261700
10109217661552
114235658270a
1219200935300
13a3b73bbc4c
145401334b16
152c935ad91c
hex196de14270

109217661552 has 50 divisors (see below), whose sum is σ = 316107602888. Its totient is φ = 36405886752.

The previous prime is 109217661547. The next prime is 109217661557. The reversal of 109217661552 is 255166712901.

It is a happy number.

109217661552 is a `hidden beast` number, since 1 + 0 + 9 + 21 + 7 + 6 + 615 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (109217661547) and next prime (109217661557).

It is a junction number, because it is equal to n+sod(n) for n = 109217661498 and 109217661507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109217661557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42135148 + ... + 42137739.

Almost surely, 2109217661552 is an apocalyptic number.

109217661552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109217661552 is an abundant number, since it is smaller than the sum of its proper divisors (206889941336).

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

109217661552 is an equidigital number, since it uses as much as digits as its factorization.

109217661552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84272907 (or 84272892 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 109217661552 in words is "one hundred nine billion, two hundred seventeen million, six hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 84272887 168545774 252818661 337091548 505637322 674183096 758455983 1011274644 1348366192 1516911966 2022549288 2275367949 3033823932 4045098576 4550735898 6067647864 6826103847 9101471796 12135295728 13652207694 18202943592 27304415388 36405887184 54608830776 109217661552