Search a number
-
+
5205154311 = 3374233491
BaseRepresentation
bin1001101100100000…
…00101101000000111
3111102202102020101000
410312100011220013
541130004414221
62220300304343
7242663040000
oct46620055007
914382366330
105205154311
1122311a0525
1210132420b3
1364c4cbc86
143754261a7
15206e7ce26
hex136405a07

5205154311 has 80 divisors (see below), whose sum is σ = 9389848320. Its totient is φ = 2844238320.

The previous prime is 5205154271. The next prime is 5205154319. The reversal of 5205154311 is 1134515025.

It is not a de Polignac number, because 5205154311 - 211 = 5205152263 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 (5205154319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1489276 + ... + 1492766.

It is an arithmetic number, because the mean of its divisors is an integer number (117373104).

Almost surely, 25205154311 is an apocalyptic number.

5205154311 is a deficient number, since it is larger than the sum of its proper divisors (4184694009).

5205154311 is an equidigital number, since it uses as much as digits as its factorization.

5205154311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5205154311 is about 72146.7553740291. The cubic root of 5205154311 is about 1733.0504403420.

Adding to 5205154311 its reverse (1134515025), we get a palindrome (6339669336).

The spelling of 5205154311 in words is "five billion, two hundred five million, one hundred fifty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 23 27 49 63 69 147 161 189 207 343 441 483 621 1029 1127 1323 1449 2401 3087 3381 3491 4347 7203 7889 9261 10143 10473 21609 23667 24437 30429 31419 55223 64827 71001 73311 80293 94257 165669 171059 213003 219933 240879 497007 513177 562051 659799 722637 1197413 1491021 1539531 1686153 2167911 3592239 3934357 4618593 5058459 8381891 10776717 11803071 15175377 25145673 27540499 32330151 35409213 75437019 82621497 106227639 192783493 226311057 247864491 578350479 743593473 1735051437 5205154311