Search a number
-
+
150636993525 = 32525394713339
BaseRepresentation
bin1000110001001010101…
…0100001101111110101
3112101211011002010201100
42030102222201233311
54432001032243100
6153111321320313
713611632214144
oct2142252415765
9471734063640
10150636993525
1158980723887
1225240036099
131128852b2c5
14741020775b
153db99a8400
hex2312aa1bf5

150636993525 has 72 divisors (see below), whose sum is σ = 275209215840. Its totient is φ = 78734747520.

The previous prime is 150636993517. The next prime is 150636993539. The reversal of 150636993525 is 525399636051.

150636993525 is a `hidden beast` number, since 1 + 50 + 6 + 3 + 69 + 9 + 3 + 525 = 666.

150636993525 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 150636993525 - 23 = 150636993517 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11286306 + ... + 11299644.

It is an arithmetic number, because the mean of its divisors is an integer number (3822350220).

Almost surely, 2150636993525 is an apocalyptic number.

150636993525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150636993525 is a deficient number, since it is larger than the sum of its proper divisors (124572222315).

150636993525 is a wasteful number, since it uses less digits than its factorization.

150636993525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14355 (or 14347 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The spelling of 150636993525 in words is "one hundred fifty billion, six hundred thirty-six million, nine hundred ninety-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 947 1325 2385 2841 3975 4735 8523 11925 13339 14205 23675 40017 42615 50191 66695 71025 120051 150573 200085 213075 250955 333475 451719 600255 706967 752865 1000425 1254775 2120901 2258595 3001275 3534835 3764325 6362703 10604505 11292975 12632033 17674175 31813515 37896099 53022525 63160165 113688297 159067575 189480495 315800825 568441485 669497749 947402475 2008493247 2842207425 3347488745 6025479741 10042466235 16737443725 30127398705 50212331175 150636993525