Search a number
-
+
20153206215 = 355411372953
BaseRepresentation
bin10010110001001110…
…011000010111000111
31221000111210221200000
4102301032120113013
5312233210044330
613131441052343
71312262266152
oct226116302707
957014727600
1020153206215
118601a6112a
123aa53270b3
131b92359cbc
14d927a6c99
157ce430560
hex4b13985c7

20153206215 has 96 divisors (see below), whose sum is σ = 37393102656. Its totient is φ = 10406154240.

The previous prime is 20153206163. The next prime is 20153206219. The reversal of 20153206215 is 51260235102.

It is a happy number.

20153206215 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 32 + 0 + 621 + 5 = 666.

It is not a de Polignac number, because 20153206215 - 221 = 20151109063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153206219) 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 95 ways as a sum of consecutive naturals, for example, 6823179 + ... + 6826131.

It is an arithmetic number, because the mean of its divisors is an integer number (389511486).

Almost surely, 220153206215 is an apocalyptic number.

20153206215 is a deficient number, since it is larger than the sum of its proper divisors (17239896441).

20153206215 is a wasteful number, since it uses less digits than its factorization.

20153206215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 20153206215 in words is "twenty billion, one hundred fifty-three million, two hundred six thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 27 41 45 81 123 135 137 205 243 369 405 411 615 685 1107 1215 1233 1845 2055 2953 3321 3699 5535 5617 6165 8859 9963 11097 14765 16605 16851 18495 26577 28085 33291 44295 49815 50553 55485 79731 84255 121073 132885 151659 166455 239193 252765 363219 398655 404561 454977 605365 717579 758295 1089657 1195965 1213683 1364931 1816095 2022805 2274885 3268971 3587895 3641049 5448285 6068415 6824655 9806913 10923147 16344855 16587001 18205245 29420739 32769441 49034565 49761003 54615735 82935005 98308323 147103695 149283009 163847205 248805015 447849027 491541615 746415045 1343547081 2239245135 4030641243 6717735405 20153206215