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121542485805 = 32513962921577
BaseRepresentation
bin111000100110001111…
…1110010011100101101
3102121201111122000020100
41301030133302130231
53442404334021210
6131500313141313
711531636040366
oct1611437623455
9377644560210
10121542485805
1147600623584
121b6803ba839
13b5cc933770
145c50148b6d
1532655e35c0
hex1c4c7f272d

121542485805 has 48 divisors (see below), whose sum is σ = 226913384880. Its totient is φ = 59827313664.

The previous prime is 121542485789. The next prime is 121542485833. The reversal of 121542485805 is 508584245121.

121542485805 is a `hidden beast` number, since 1 + 21 + 5 + 4 + 2 + 48 + 580 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8612211204 + 112930274601 = 92802^2 + 336051^2 .

It is not a de Polignac number, because 121542485805 - 24 = 121542485789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5622177 + ... + 5643753.

It is an arithmetic number, because the mean of its divisors is an integer number (4727362185).

Almost surely, 2121542485805 is an apocalyptic number.

121542485805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121542485805 is a deficient number, since it is larger than the sum of its proper divisors (105370899075).

121542485805 is a wasteful number, since it uses less digits than its factorization.

121542485805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31230 (or 31227 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 121542485805 in words is "one hundred twenty-one billion, five hundred forty-two million, four hundred eighty-five thousand, eight hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 9629 21577 28887 48145 64731 86661 107885 125177 144435 194193 280501 323655 375531 433305 625885 841503 970965 1126593 1402505 1877655 2524509 4207515 5632965 12622545 207764933 623294799 1038824665 1869884397 2700944129 3116473995 8102832387 9349421985 13504720645 24308497161 40514161935 121542485805