Search a number
-
+
3135246246 = 23211211312739
BaseRepresentation
bin1011101011100000…
…0000111110100110
322002111112000022100
42322320000332212
522410110334441
61235035112530
7140460103416
oct27270007646
98074460270
103135246246
111369845a00
12735ba2746
133ac718bc2
1421a570646
151353abcb6
hexbae00fa6

3135246246 has 72 divisors (see below), whose sum is σ = 7533391320. Its totient is φ = 941592960.

The previous prime is 3135246241. The next prime is 3135246263. The reversal of 3135246246 is 6426425313.

3135246246 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 24 + 624 + 6 = 666.

3135246246 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3135246246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135246241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239745 + ... + 252483.

It is an arithmetic number, because the mean of its divisors is an integer number (104630435).

Almost surely, 23135246246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135246246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766695660).

3135246246 is an abundant number, since it is smaller than the sum of its proper divisors (4398145074).

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

3135246246 is a wasteful number, since it uses less digits than its factorization.

3135246246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 12868 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3135246246 is about 55993.2696491284. The cubic root of 3135246246 is about 1463.6050035105.

The spelling of 3135246246 in words is "three billion, one hundred thirty-five million, two hundred forty-six thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 121 198 226 242 339 363 678 726 1017 1089 1243 2034 2178 2486 3729 7458 11187 12739 13673 22374 25478 27346 38217 41019 76434 82038 114651 123057 140129 229302 246114 280258 420387 840774 1261161 1439507 1541419 2522322 2879014 3082838 4318521 4624257 8637042 9248514 12955563 13872771 15834577 25911126 27745542 31669154 47503731 95007462 142511193 174180347 285022386 348360694 522541041 1045082082 1567623123 3135246246