Search a number
-
+
153077773343985 = 32573713134086087
BaseRepresentation
bin100010110011100100110010…
…010011011001110011110001
3202002000002111020000022001100
4202303210302103121303301
5130031011234434001420
61301322542552155013
744146334632422540
oct4263446223316361
9662002436008040
10153077773343985
1144858a12361436
12152035b8698a69
1367552310c8389
1429b300a472157
1512a6d8690c190
hex8b39324d9cf1

153077773343985 has 48 divisors (see below), whose sum is σ = 311435449318656. Its totient is φ = 68087102269824.

The previous prime is 153077773343983. The next prime is 153077773344043. The reversal of 153077773343985 is 589343377770351.

153077773343985 is a `hidden beast` number, since 1 + 53 + 0 + 7 + 77 + 73 + 3 + 439 + 8 + 5 = 666.

153077773343985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153077773343985 - 21 = 153077773343983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153077773343983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6567031389 + ... + 6567054698.

It is an arithmetic number, because the mean of its divisors is an integer number (6488238527472).

Almost surely, 2153077773343985 is an apocalyptic number.

153077773343985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153077773343985 is an abundant number, since it is smaller than the sum of its proper divisors (158357675974671).

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

153077773343985 is a wasteful number, since it uses less digits than its factorization.

153077773343985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13134086142 (or 13134086139 counting only the distinct ones).

The product of its (nonzero) digits is 1400263200, while the sum is 72.

The spelling of 153077773343985 in words is "one hundred fifty-three trillion, seventy-seven billion, seven hundred seventy-three million, three hundred forty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1295 1665 2331 3885 11655 13134086087 39402258261 65670430435 91938602609 118206774783 197011291305 275815807827 459693013045 485961185219 591033873915 827447423481 1379079039135 1457883555657 2429805926095 3401728296533 4137237117405 4373650666971 7289417778285 10205184889599 17008641482665 21868253334855 30615554668797 51025924447995 153077773343985