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1993006125 = 3253116
BaseRepresentation
bin111011011001010…
…1101110000101101
312010220012012102200
41312302231300231
513040202144000
6525433012113
7100250162325
oct16662556055
95126165380
101993006125
11933000000
12477554039
13259b98b86
1414c998285
15b9e80500
hex76cadc2d

1993006125 has 84 divisors (see below), whose sum is σ = 3951998076. Its totient is φ = 966306000.

The previous prime is 1993006123. The next prime is 1993006153. The reversal of 1993006125 is 5216003991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1993006125 is a `hidden beast` number, since 1 + 9 + 9 + 30 + 0 + 612 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63776196 + 1929229929 = 7986^2 + 43923^2 .

It is not a de Polignac number, because 1993006125 - 21 = 1993006123 is a prime.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1993006125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993006123) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 181182370 + ... + 181182380.

Almost surely, 21993006125 is an apocalyptic number.

1993006125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1993006125 is a deficient number, since it is larger than the sum of its proper divisors (1958991951).

1993006125 is an frugal number, since it uses more digits than its factorization.

1993006125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1993006125 is about 44643.0971707833. The cubic root of 1993006125 is about 1258.4507129464.

Multiplying 1993006125 by its product of nonzero digits (14580), we get a square (29058029302500 = 53905502).

The spelling of 1993006125 in words is "one billion, nine hundred ninety-three million, six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 125 165 225 275 363 375 495 605 825 1089 1125 1331 1375 1815 2475 3025 3993 4125 5445 6655 9075 11979 12375 14641 15125 19965 27225 33275 43923 45375 59895 73205 99825 131769 136125 161051 166375 219615 299475 366025 483153 499125 658845 805255 1098075 1449459 1497375 1771561 1830125 2415765 3294225 4026275 5314683 5490375 7247295 8857805 12078825 15944049 16471125 20131375 26573415 36236475 44289025 60394125 79720245 132867075 181182375 221445125 398601225 664335375 1993006125